Factors of 100

Step by step

The question

Question: find the factors of 100.

A factor of 100 is a whole number that goes into 100 exactly.

Nothing is left over.

1 Find the factor pairs

We start with 1.

1 goes into every number: 1 times 100 is 100.

Each number that goes in comes with a partner.

100 divided by 2 is 50.

Nothing is left over.

So 2 times 50 is 100.

Does 3 go in?

100 divided by 3 is 33, with 1 left over.

So 3 is not a factor.

100 divided by 4 is 25.

Nothing is left over.

So 4 times 25 is 100.

100 divided by 5 is 20.

Nothing is left over.

So 5 times 20 is 100.

Does 6 go in?

100 divided by 6 is 16, with 4 left over.

So 6 is not a factor.

Does 7 go in?

100 divided by 7 is 14, with 2 left over.

So 7 is not a factor.

Does 8 go in?

100 divided by 8 is 12, with 4 left over.

So 8 is not a factor.

Does 9 go in?

100 divided by 9 is 11, with 1 left over.

So 9 is not a factor.

100 divided by 10 is 10.

Nothing is left over.

So 10 times 10 is 100.

The pair meets: 10 times 10.

So we stop.

2 List them in order

Now we write them from small to big.

First the orange numbers, going down.

Then the purple numbers, going up.

So 100 has 9 factors: 1, 2, 4, 5, 10, 20, 25, 50 and 100.

Let's look back.

First: find the factor pairs.

Last: list them in order.