What is a Factorzation?

http://www.purplemath.com/modules/factnumb.htm

How do you estimate sums?

Factorization is the process of breaking down a number or an algebraic expression into its factors. Factors are the numbers or expressions that multiply together to give the original number or expression.

To perform factorization, follow these steps:

1. Start by dividing the given number or expression by the smallest prime number, which is 2.
2. If the number is divisible by 2, divide it as many times as possible until it is no longer divisible.
3. Move on to the next prime number, which is 3, and repeat the process.
4. Continue dividing by prime numbers until the number or expression is completely factored.

For example, let's factorize the number 24:

1. Start by dividing 24 by 2: 24 ÷ 2 = 12.
2. Since 12 is still divisible by 2, divide again: 12 ÷ 2 = 6.
3. Now, 6 is not divisible by 2 but it is divisible by the next prime number, which is 3: 6 ÷ 3 = 2.
4. Finally, we have a prime number left, which is 2: 2 ÷ 2 = 1.

The factors of 24 are 2, 2, 2, and 3 (written as 2^3 × 3), which means that 24 can be expressed as the product of these prime numbers.