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Factors of 12

Step by step, with the reason for every step · Factors and multiples · Foundations

Step by step

The question

Question: find the factors of 12.

Factors of 12

A factor of 12 is a whole number that goes into 12 exactly.

Nothing is left over.

factor: goes into 12 exactly

1 Find the factor pairs

We start with 1.

1 goes into every number: 1 times 12 is 12.

Each number that goes in comes with a partner.

= 1 × 12 = 12

12 divided by 2 is 6.

Nothing is left over.

So 2 times 6 is 12.

= 2 × 6 = 12

12 divided by 3 is 4.

Nothing is left over.

So 3 times 4 is 12.

= 3 × 4 = 12

Next is 4.

But 4 times 4 is 16, more than 12.

From here the pairs only repeat.

So we stop.

4 × 4 = 16 > 12 → 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.

= 1, 2, 3, 4, 6, 12

So 12 has 6 factors: 1, 2, 3, 4, 6 and 12.

Let's look back.

First: find the factor pairs.

Last: list them in order.

Answer
= 1, 2, 3, 4, 6, 12

Your turn

Try this one yourself, then check:

Factors of 8
Show the answer
1, 2, 4, 8

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