All Factors of a Number

When trying to determine all factors of a number, it’s important to remember that there are two types of factors: prime and composite.

Prime factors are numbers that can only be divided by themselves and one. Composite factors are numbers that can be divided by more than just themselves and one.

To find all the factors of a number, you’ll need to find both the prime and composite factors.

Factors Calculator

To start, let’s take a look at an example:

Let’s say we’re trying to find all the factors of the number 12. We know that 2 x 6 = 12, so 2 and 6 are both factors of 12. But what about 1, 3, 4, and 12?

1 is a factor of 12 because 12 can be divided by 1.

3 is a factor of 12 because 12 can be divided by 3.

4 is a factor of 12 because 12 can be divided by 4.

12 is a factor of 12 because, well, it’s 12!

So, the complete list of factors for 12 is 1, 2, 3, 4, 6, and 12.

What is a factor?

A factor is a number that divides into another number evenly. In other words, the remainder must be zero. For example, 3 is a factor of 6 because 6 ÷ 3 = 2 with no remainder.

The factors of a number can be positive or negative numbers. Therefore, -3 is also a factor of 6 because 6 ÷ (-3) = -2 with no remainder.