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Factors of 26

Every whole number that divides 26 exactly, the factor pairs, and how to find them yourself.

The answer

The factors of 26 are 1, 2, 13 and 26.

Factor pairs of 26

PairMakes
1 × 2626
2 × 1326

Prime factors of 26

Prime factorisation
26 = 2 × 13
Is 26 prime?
No. It has 4 factors, not just 1 and 26.
Is 26 a square number?
No. 5 × 5 = 25 and 6 × 6 = 36, so 26 falls between two square numbers.

How to find the factors of 26

26 is even, so 2 is sure to be a factor. Work up from 1 to 5, and write down both numbers in every pair you find.

  1. 26 ÷ 1 = 26, so 1 × 26 is a pair.
  2. 26 ÷ 2 = 13, so 2 × 13 is a pair.
  3. 3 does not go into 26 exactly.
  4. 4 does not go into 26 exactly.
  5. 5 does not go into 26 exactly.

Stop at 6: 6 × 6 = 36, which is more than 26. The next pair you would find is 13 × 2, which is 2 × 13 turned round, so you already have every pair.

26 in the times tables

2 × 13 = 26. Practise the 13 times table.

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Questions parents ask

What is the largest factor of 26, apart from 26 itself?

13. Divide 26 by its smallest factor above 1, which is 2: 26 ÷ 2 = 13.

What do the factors of 26 add up to?

42. Leaving out 26 itself, they add up to 16, which is less than 26, so 26 is called a deficient number.

Which number after 26 has the same number of factors?

27. Like 26, it has exactly 4 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.