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Factors of 79

Every whole number that divides 79 exactly, the factor pairs, and how to find them yourself.

The answer

The factors of 79 are 1 and 79. 79 is a prime number.

Factor pairs of 79

PairMakes
1 × 7979

Prime factors of 79

Prime factorisation
79 = 79
Is 79 prime?
Yes. It is the 22nd prime number.
Is 79 a square number?
No. 8 × 8 = 64 and 9 × 9 = 81, so 79 falls between two square numbers.

How to find the factors of 79

79 is prime, so the only pair you will find is 1 × 79. Work up from 1 to 8, and write down both numbers in every pair you find.

  1. 79 ÷ 1 = 79, so 1 × 79 is a pair.
  2. 2 does not go into 79 exactly.
  3. 3 does not go into 79 exactly.
  4. 4 does not go into 79 exactly.
  5. 5 does not go into 79 exactly.
  6. 6 does not go into 79 exactly.
  7. 7 does not go into 79 exactly.
  8. 8 does not go into 79 exactly.

Stop at 9: 9 × 9 = 81, which is more than 79. The next pair you would find is 79 × 1, which is 1 × 79 turned round, so you already have every pair.

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Questions parents ask

What is the largest factor of 79, apart from 79 itself?

1. 79 is prime, so apart from 79 itself its only factor is 1.

What do the factors of 79 add up to?

80. Leaving out 79 itself, they add up to 1, which is less than 79, so 79 is called a deficient number.

Which number after 79 has the same number of factors?

83. Like 79, it has exactly 2 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.