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Is 24 a prime number?

24 is not a prime number. Here is the quickest way to see it.

The answer

No. 24 is not a prime number: 2 × 12 = 24.

How to see that 24 is not prime

24 is even, and every even number can be divided by 2, so 2 is a factor as well as 1 and 24.

24 has 8 factors (1, 2, 3, 4, 6, 8, 12 and 24), which make 4 factor pairs.

Split 24 into prime factors

Split off the smallest prime each time, and keep going until every part is prime:

  1. 24 = 2 × 12
  2. 24 = 2 × 2 × 6
  3. 24 = 2 × 2 × 2 × 3

With the repeated primes written as powers, that is 2³ × 3.

24 in the times tables

24 turns up in 6 different times tables, the 2, 3, 4, 6, 8 and 12: 2 × 12, 3 × 8, 4 × 6, 6 × 4, 8 × 3 and 12 × 2.

Quick checks that catch 24

  • The last digit, 4, is even, so 2 goes in.
  • The digits add up to 6, which is in the 3 times table, so 3 goes in.
  • Half of it is 12, which is still even, so 4 goes in.
  • It is even and passes the check for 3 as well, so 6 goes in.

24 at a glance

In words
twenty-four
In Roman numerals
XXIV
Odd or even
Even: it ends in 4
Its factors add up to
60, or 36 without 24 itself, which makes 24 an abundant number

The numbers either side of 24

  • 23 is prime: 2 and 3 do not go into it, and 5 × 5 is already past 23. Check 23 in full
  • 25 is not prime. 25 ends in 5, and every number ending in 5 or 0 is in the 5 times table, so 5 is a factor. Check 25 in full

Turn the digits round

24 backwards is 42. 42 is not prime. 42 is even, and every even number can be divided by 2, so 2 is a factor as well as 1 and 42. Check 42 in full

Related pages

More numbers

Questions parents ask

Which prime numbers are either side of 24?

23 below it and 29 above it, a gap of 6.

What is 24 squared?

24 × 24 = 576.

What is the smallest number with as many factors as 24?

24 itself. No smaller number has 8 factors.

Number facts are the base of 11+ maths

Factors, multiples, primes and square numbers come up all over 11+ maths, from simplifying fractions to ratio. The free diagnostic checks maths, English and both kinds of reasoning, and shows what to practise next. No card is required.