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Is 25 a prime number?

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

The answer

No. 25 is not a prime number: 5 × 5 = 25.

How to see that 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.

25 has only three factors, 1, 5 and 25: just one more than a prime has, which is still enough to rule it out.

Split 25 into prime factors

25 is 5 × 5: the same prime twice, so its factor tree stops after one split.

25 in the times tables

Just one of the 2 to 12 times tables has 25 in it: 5 × 5 = 25.

Quick checks that catch 25

  • It ends in 5, so 5 goes in.

25 at a glance

In words
twenty-five
In Roman numerals
XXV
Odd or even
Odd: it ends in 5
Square number
5 × 5 = 25
Its factors add up to
31, or 6 without 25 itself, which makes 25 a deficient number

The numbers either side of 25

  • 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. Check 24 in full
  • 26 is not prime. 26 is even, and every even number can be divided by 2, so 2 is a factor as well as 1 and 26. Check 26 in full

Turn the digits round

25 backwards is 52. 52 is not prime. 52 is even, and every even number can be divided by 2, so 2 is a factor as well as 1 and 52. Check 52 in full

Related pages

More numbers

Questions parents ask

Which prime numbers are either side of 25?

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

What is 25 squared?

25 × 25 = 625.

What is the smallest number with as many factors as 25?

4. It has 3 factors, the same as 25.

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.