# Math Antics - Factoring

mathantics2012-04-16

Math#educational#Math Antics#arithmetic#multi-digit#addition#subtraction#multiplication#division#tutorial#Education (Professional Field)#factoring#factor#divisor#divisible#testing for divisibility#find all the factors

2M views|12 years ago

ðŸ’« Short Summary

The Math Antics video explains factoring as the process of finding the numbers that can be multiplied together to get a certain number. It demonstrates how to factor the number 24 by finding its divisors through testing for divisibility, with numbers less than half of the number.

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ðŸ“Š Transcript

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Factoring is like being given the answer to a multiplication problem and then having to figure out what that problem was.

00:04Factoring is the process of finding the numbers that can be multiplied together to get a certain number.

For example, factoring the number 10 would involve figuring out what numbers can be multiplied together to get 10.

The factors of 10 are 2 and 5, so 2 and 5 are the solution to the factoring problem for 10.

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Factoring a number is finding its divisors, and there can be more than one way to factor a number.

01:28Factoring is finding all the numbers that can divide evenly into a given number.

For example, 24 can be factored into 4 and 6, or 3 and 8.

Both 4 and 6, and 3 and 8 are correct sets of factors for 24.

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Testing for divisibility is a way to find out if a number is a factor of another number.

02:23To find all the factors of a number, you can test for divisibility by numbers less than half of the number.

For example, to find all the factors of 24, you only need to test numbers 1 through 12.

Factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24.

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Factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24.

04:221 and 24 are factors because 1 * 24 = 24

2 and 12 are factors because 2 * 12 = 24

3 and 8 are factors because 3 * 8 = 24

4 and 6 are also factors because 4 * 6 = 24

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Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24.

05:001 and 24 are factors because 24 Ã· 1 = 24 and 24 Ã· 24 = 1

2 and 12 are factors because 24 Ã· 2 = 12 and 24 Ã· 12 = 2

3 and 8 are factors because 24 Ã· 3 = 8 and 24 Ã· 8 = 3

4 and 6 are factors because 24 Ã· 4 = 6 and 24 Ã· 6 = 4

ðŸ’« FAQs about This YouTube Video

### 1. What is factoring in math?

Factoring in math is the process of finding the numbers that can be multiplied together to get a certain number. It is like "unmultiplying" a number, where instead of finding the product of two numbers, you are given the product and have to find the original numbers.

### 2. How can factoring be useful in math?

Factoring can be useful in math for simplifying fractions and solving equations. By breaking numbers down into their factors, it becomes easier to work with them and find solutions to various math problems.

### 3. What are the factors of a number?

The factors of a number are the numbers that can be multiplied together to get that number. For example, the factors of 10 are 1, 2, 5, and 10, because 1*10=10 and 2*5=10.

### 4. Is there more than one way to factor a number?

Yes, there can be more than one way to factor a number. For example, the number 12 can be factored as 2*6 or 3*4. Both are correct factorizations of 12.

### 5. How do you find the factors of a number?

To find the factors of a number, you can test for divisibility by numbers less than or equal to the square root of the number. Any number that divides the original number without leaving a remainder is a factor.

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