Write down all the factors of 28.

Step by step

The question

Question: find the factors of 28.

A factor of 28 is a whole number that goes into 28 exactly.

Nothing is left over.

1 Find the factor pairs

We start with 1.

1 goes into every number: 1 times 28 is 28.

Each number that goes in comes with a partner.

28 divided by 2 is 14.

Nothing is left over.

So 2 times 14 is 28.

Does 3 go in?

28 divided by 3 is 9, with 1 left over.

So 3 is not a factor.

The r means left over.

28 divided by 4 is 7.

Nothing is left over.

So 4 times 7 is 28.

Does 5 go in?

28 divided by 5 is 5, with 3 left over.

So 5 is not a factor.

Next is 6.

But 6 times 6 is 36, more than 28.

From here the pairs only repeat.

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 28 has 6 factors: 1, 2, 4, 7, 14 and 28.

Let's look back.

First: find the factor pairs.

Last: list them in order.