How To: Solve problems related to factors, multiples, & primes

Check out this instructional math video that reviews Elementary Number Theory, which is a fancy way of saying these are problems related to factors, multiples, prime numbers and remainders. In the 12th lesson, learn how to solve SAT math problems. Here are the math problems and their page numbers that this video covers:

How To: Reduce a fraction by finding common factors in math

The aim of the video is to show how to reduce a fraction by factoring out prime numbers that are common to both the numerator and the denominator. The example shown in the video is 27/21. The number 27 can be achieved by multiplying 3 by 9 and the number 21 is the result of 3 multiplied by 7. The common factor, therefore in both the numerator and the denominator is 3. 3 on the top divided by 3 on the bottom is 1 and so this can be removed without affecting the value of the fraction, leaving 9...

How To: Find the factors of a number in basic mathematics

From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's best and brightest mathematical minds have belonged to autodidacts. And, thanks to the Internet, it's easier than ever to follow in their footsteps. With this installment from Internet pedagogical superstar Salman Khan's series of free math tutorials, you'll learn how to calculate the constituent factors of a number.

How To: to Use Scale Factors

A scale factor is a number used as a multiplier in dilation. Dilation is the act of being enlarged or minimized. Say you have a dimension of 3''. The scale factor is 2:1. So, you multiply the dimension by the scale factor to get your new dimension. After you multiply those numbers, you get 6''. Here is a link that relates to this subject. Scale Factor.

How To: Make a factor tree for the numbers 12 and 5

Making a factor tree is useful for us to see the factors of those numbers. Here we will take 12 and make a factor tree of it. Now we have to see those numbers with whom multiplication 12 comes. We will not take 1 and 12 here that is a obvious answer. We will take 3 and 4 there multiplication is 12. It will make the first branch of the tree now for the next branch we will take 3. 3 is a prime number 4 is not a prime number but multiplying 3*2*2 gives 12.

How To: Factor a trinomial, find the GCF, then group

This lesson describes the method to find the factors of a trinomial, which consists of three terms, by grouping. First of all, factor out the greatest common factor (GCF), and write the reduced trinomial in parentheses. Let the terms of the trinomial be written in order of exponent of the variable. For example, 3(3X2+2X-8) trinomial is written in the order of variable, with 3(GCF) factored out. Now identify the coefficient of the first and last terms, for example in this case, it is 3 and 8. ...

How To: Find the greatest common factor (GCF)

This video tutorial shows you the proper way to find the GCF, or greatest common factor. While this is not necessary, the video shows a method of drawing a T chart. List both the numbers that you need to find the GCF, then list there factors, including the number 1. Once you display your factors of both numbers it is a clear cut visual of what the GCF is. In the case of the problem on the video the number 4 has factors of: 1, 2, 4 and the number 20 has factors of: 1, 2, 4, 5, 10, and 20. Ther...

How To: Determine prime factors & reduce fractions in MS Excel

As you might guess, one of the domains in which Microsoft Excel really excels is business math. Brush up on the stuff for your next or current job with this how-to. In this tutorial from everyone's favorite digital spreadsheet guru, YouTube's ExcelIsFun, the 17th installment in his "Excel Business Math" series of free video lessons, you'll learn how to define prime numbers, determine prime factors, reduce fractions (i.e., write fractions in their lowest terms) and convert mixed numbers to imp...

How To: Reduce fractions using prime factors in basic math

After a guide on how to reduce fractions using prime factors? See how it's done with this free video math lesson. From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's best and brightest mathematical minds have belonged to autodidacts. And, thanks to the Internet, it's easier than ever to follow in their footsteps (or just finish your homework or study for that next big test).

How To: List the factors of a number

In this tutorial the author shows how to factor a number. He says that factoring means to find all the smaller numbers which can be multiplied to obtain the original number. He says that the number one and the number it self are the factors of every number. Now to find the factor of a number he starts with 2 and tries to divide that number with 2. If he is able to divide it, it implies that 2 is a factor of that number. He now does this with each and every number between 1 and the number it s...

How To: Factor trinomials

In this video, the instructor shows how to factor trinomials. An equation is a trinomial if it has three terms. If you factor a trinomial, you are left with two binomials which are the factors of the original trinomial. Multiplying them would result in the original trinomial. Now factor the last numerical term such that the sum or difference of those factors gives you the numerical coefficient of the middle term. Now split the middle term according to the factors obtained in the previous term...

How To: Factor a trinomial

In this video the instructor shows how to factor a general quadratic polynomial. Here the first step is to identify the coefficient of the squared term. Write the reciprocal of the numerical coefficient of the squared term out side and write two separate parenthesis which are going to contain the binomials which are the factors of the original equation. The first term of both the binomials is the first term numerical coefficient times the unknown variable. Now multiply the first term numerica...

How To: Find the greatest common factor, GCF

In this tutorial the instructor shows how to calculate the greatest common factor, or GCF. While computing greatest common factor, you are pulling out the smallest exponents of any common factors along with the factor. Finding the greatest common factor is similar to finding the least common multiple. When given any numbers to find the greatest common factor, the first step in the general procedure to be followed is to break each number down into its factors. You need to break down the number...

How To: Factor a number

The following are the steps to describe how-to factor a number: 1. First we go into factoring a number we first need to know the prime numbers 2, 3, 5, 7, 11, 13, 17, 19, 23 etc.

How To: Factor a trinomial by GCF then grouping method

This is a video tutorial in the Education category where you are going to learn how to factor a trinomial by GCF then grouping method. For example how to factor the trinomial 6r(squared) – 28r + 16. The first thing is to get the greatest common factor (GCF) of the numbers. So, GCF of 6, 28 and 16 is 2. The trinomial can now be written as 2{3r(squared) – 14r + 8}. To factor by grouping, see the trinomial as the general formula of ar(squared) + br + c. To factor this, you got to look at the...

How To: Factor trinomials with the "swing method"

This is a very interesting educational video on how to find the factor trinomials using the swing method. Let us take an example and find the factor trinomials for 2xsquare-13x-45. Let us use the swing method. So now we will get 2xsquare -13x-45. You have to find the suitable factors of 90. It is 18 and 5. If you multiply 18 by 5 you will get 90. You will get (x-18over2)(x+5over2). The final answer is (x-9)(2x+5). Now we have found out the factor trinomials of 2xsquare-13x-45. This swing meth...

How To: Factor a trinomial, GCF, then unfoil

In this video the instructor shows how to factor a polynomial. A polynomial having three terms is called as trinomial. Now if you factor it you will obtain two binomials whose product will be the original polynomial. Before factoring a polynomial you need to find out if the polynomial has a GCF. Look out for the common variables in all the three terms and pull them out which is the GCF of the polynomial. This simplifies the original equation to a polynomial which is of lower degree. Now facto...

How To: Factor the difference of squares

In this video the instructor shows how to factor the difference of squares using a formula. The formula to find the difference of squares can only be applied if you have two perfect squares. The formula is (a * a - b * b) = (a - b) * (a + b). That is the difference of squares of two numbers is the product of sum of two numbers and difference of two numbers. So when you need to find the difference of squares of two numbers substitute the values in the above formula to directly solve for the fa...

How To: Factor the GCF and difference of squares

In this video the instructor shows how to factor the GCF and difference of squares. When you are asked to factorize a number or monomial or a polynomial, the way to do is break it down into individual terms. When asked to factorize a binomial, try to pull out any common terms and factorize the simplified equation. When you are asked to factorize the difference of squares use the general formula which states that the factors of (a*a - b*b) is (a-b) * (a+b). Now substitute the given values in t...

How To: Factor a trinomial with negative leading coefficient

In this video the instructor shows how to factor a trinomial with negative leading coefficient. Most of the students are confused when they have to factor a trinomial with a negative leading coefficient. But there are many ways to solve these kind of problems as shown in this video. One way you can do is that take out the greatest common factor (GCF) of -1 from the equation. So pulling the -1 gives you the original trinomial with all the signs of the terms changed. Now go on and factor the ne...

How To: Factor a trinomial by GCF then grouping

In this tutorial the instructor shows how to factor a trinomial with Greatest Common Factor (GCF) and then how to group it. The first thing you have to do when you want to factor a trinomial is look for the GCF. First factor the numerical coefficients of the terms of the equation. Now separate out the common numerical factor and if any common variable. This leaves you with a binomial to be factored. Now to solve this multiply the numerical coefficients of the first term and the last term and ...

How To: Factor a trinomial with a negative in front

This video shows the method to factor a trinomial with a negative sign in the front. The first step is to make the first term positive. This is done by taking the negative sign out. Then we see the middle term of the trinomial. The coefficient of the middle term is a positive one in the example shown. We have to group the coefficient of the first and third term in a way so that the difference is positive one. The appropriate combination is chosen so that this becomes true. In this way the tri...

How To: Use the Difference of Squares factoring method

For more advanced math, you will need to use the difference of squares in order to factor certain polynomials. This video offers the basic technique for this factoring method as well as a few examples to get you started. In order for this factoring technique to work, you will need two numbers which are squares and are being subtracted from each other. The two factors will be the original numbers added to each other as well as subtracted from one another. This fast and simple factoring method ...

How To: Find the prime factorization of a number in basic mathematics

From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's best and brightest mathematical minds have belonged to autodidacts. And, thanks to the Internet, it's easier than ever to follow in their footsteps. With this installment from Internet pedagogical superstar Salman Khan's series of free math tutorials, you'll learn how to find the find factors of a number

How To: Start your term paper research

Katherine Miller teaches the secrets of starting your term paper research by using concept mapping method. Use a large sheet of paper and a marker to map out our ideas. First take an example like "Succeeding at college and grades" and write down the factors affecting your goal. The most common factor is money, now write down the things that has an impact on money like jobs, business and loans. The other factors are outside life, health, places for help and study habits. Simultaneously write i...

How To: Maintain that centerline

This episode discusses the four causal aerodynamic factors leading to the overall left turning tendency that an aircraft experiences during flight. Join Scott Ludwig and Seth Hardley as they teach about Torque Effect, Spiraling Slipstream, Gyroscopic Precession and P-Factor and how these principles will affect your aircraft on your next training flight. During the takeoff roll, remember to maintain centerline at all times and don’t get lazy feet.

How To: Choose the right character to make a costume for and cosplay as

Cosplay is a fine art these days, and if you want to get into it, deciding which of the thousands of characters you have to choose from to cosplay as can be tough. Making a good costume is hard work, so you want to make sure you choose the right character for you before you invest your time and money. This video features several regular cosplayers giving you all sorts of tips and advice for picking your character based on body type, personality, and other factors.

How To: Make Chain Mail Armor from Start to Finish

This article is a guide for making Chainmail Armor from start (simple wire) to finish (a finished chainmail shirt). We will be using the European 4 in 1 weave, as this is the most common weave. This is the weave that you usually see in movies. There are several sections to this guide: Materials, Making the Rings, Weaving the Rings, and Making the shirt.

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