Factors of 30

Step by step

The question

Question: find the factors of 30.

A factor of 30 is a whole number that goes into 30 exactly.

Nothing is left over.

1 Find the factor pairs

We start with 1.

1 goes into every number: 1 times 30 is 30.

Each number that goes in comes with a partner.

30 divided by 2 is 15.

Nothing is left over.

So 2 times 15 is 30.

30 divided by 3 is 10.

Nothing is left over.

So 3 times 10 is 30.

Does 4 go in?

30 divided by 4 is 7, with 2 left over.

So 4 is not a factor.

30 divided by 5 is 6.

Nothing is left over.

So 5 times 6 is 30.

Next is 6.

But 6 times 6 is 36, more than 30.

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 30 has 8 factors: 1, 2, 3, 5, 6, 10, 15 and 30.

Let's look back.

First: find the factor pairs.

Last: list them in order.