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Is 26 a prime number?

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

The answer

No. 26 is not a prime number: 2 × 13 = 26.

How to see that 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.

26 has four factors: 1 and 26, plus one pair in between, 2 and 13.

Split 26 into prime factors

26 splits straight into two primes, 2 × 13, so its factor tree has only one branch.

26 in the times tables

No fact from the 2 to 12 times tables, up to × 12, makes 26. Its smallest pair, 2 × 13, needs the 13 times table, which goes past 12.

See the 13 times table, where 13 × 2 = 26 is one of the facts.

Quick checks that catch 26

  • The last digit, 6, is even, so 2 goes in.

26 at a glance

In words
twenty-six
In Roman numerals
XXVI
Odd or even
Even: it ends in 6
Its factors add up to
42, or 16 without 26 itself, which makes 26 a deficient number

The numbers either side of 26

  • 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
  • 27 is not prime. Its digits add up to 2 + 7 = 9, which is a multiple of 3. That means 27 is a multiple of 3 too, so 3 is a factor. Check 27 in full

Turn the digits round

26 backwards is 62. 62 is not prime. 62 is even, and every even number can be divided by 2, so 2 is a factor as well as 1 and 62. Check 62 in full

Related pages

More numbers

Questions parents ask

Which prime numbers are either side of 26?

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

What is 26 squared?

26 × 26 = 676.

What is the smallest number with as many factors as 26?

6. It has 4 factors, the same as 26.

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.