# Factors of 5

The factors of a integer are the integers that go into the larger number an even number of times. For example, 5 is a factor of 15 because 5 goes in to 15 evenly 3 times.

But you're here for the factors of 5. The factors of 5 are 1, 5. You can divide 5 by each of these numbers and get an integer value, and that value is also a factor of 5. Depending on who you talk to 1 and 5 should not be included in the factor list since all numbers are divisible by 1 and itself. But we're including them here.

\LARGE \begin{aligned} 5 \div 1 &= 5 \\ 5 \div 5 &= 1 \\ \end{aligned}

And notice that as we go down the list and divide 5 by each of its factors, the answer is another factor.

## How many factors of 5

Looking at our lists above we can see that 5 has 2 positive factors.

## Negative Factors of 5

We've already seen that the factors for 5 are $$\Large 1, 5$$. But if you remember back to math class you'll know that if you multiply two negative numbers together you'll get a positive, and the same works with factors. So this set of factors can also be displayed as negative factors, in this case $$\Large -1, -5$$.

## Is 5 prime?

A prime number is one that only has two factors, 1 and itself.

Yes, 5 is prime because its only two factors are 1 and itself, 5.