The answer
The factors of 62 are 1, 2, 31 and 62.
Factor pairs of 62
| Pair | Makes |
|---|---|
| 1 × 62 | 62 |
| 2 × 31 | 62 |
Prime factors of 62
- Prime factorisation
- 62 = 2 × 31
- Is 62 prime?
- No. It has 4 factors, not just 1 and 62.
- Is 62 a square number?
- No. 7 × 7 = 49 and 8 × 8 = 64, so 62 falls between two square numbers.
How to find the factors of 62
62 is even, so 2 is sure to be a factor. Work up from 1 to 7, and write down both numbers in every pair you find.
- 62 ÷ 1 = 62, so 1 × 62 is a pair.
- 62 ÷ 2 = 31, so 2 × 31 is a pair.
- 3 does not go into 62 exactly.
- 4 does not go into 62 exactly.
- 5 does not go into 62 exactly.
- 6 does not go into 62 exactly.
- 7 does not go into 62 exactly.
Stop at 8: 8 × 8 = 64, which is more than 62. The next pair you would find is 31 × 2, which is 2 × 31 turned round, so you already have every pair.
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Questions parents ask
What is the largest factor of 62, apart from 62 itself?
31. Divide 62 by its smallest factor above 1, which is 2: 62 ÷ 2 = 31.
What do the factors of 62 add up to?
96. Leaving out 62 itself, they add up to 34, which is less than 62, so 62 is called a deficient number.
Which number after 62 has the same number of factors?
65. Like 62, it has exactly 4 factors.
Continue your number practice
Explore the diagnostic for another set of practice questions.
