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Is 21 prime

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

Step by step

The question

Question: is 21 a prime number?

Is 21 prime?

A prime number has exactly two factors: 1 and itself.

So we look for any other number that goes into 21.

prime: only 1 and itself go in

1 Try dividing

Does 2 go in?

21 divided by 2 is 10, with 1 left over.

So 2 is not a factor.

= 21 ÷ 2 = 10 r 1 ✗
r 1 = 1 left over

Does 3 go in?

21 divided by 3 is 7.

Nothing is left over.

So 3 goes in!

= 21 ÷ 3 = 7 ✓

2 Decide

So 21 is 3 times 7.

It has more factors than 1 and 21.

= 21 = 3 × 7

So 21 is not prime.

= 21 is not prime

Let's look back.

First: try dividing.

Last: decide.

Answer
= 21 is not prime

Your turn

Try this one yourself, then check:

Is 27 prime?
Show the answer
27 is not prime

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