Factors of 58
Every whole number that divides 58 exactly, the factor pairs, and how to find them yourself.
The answer
The factors of 58 are 1, 2, 29 and 58.
Factor pairs of 58
| Pair | Makes |
|---|---|
| 1 × 58 | 58 |
| 2 × 29 | 58 |
Prime factors of 58
- Prime factorisation
- 58 = 2 × 29
- Is 58 prime?
- No. It has 4 factors, not just 1 and 58.
- Is 58 a square number?
- No. 7 × 7 = 49 and 8 × 8 = 64, so 58 falls between two square numbers.
How to find the factors of 58
58 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.
- 58 ÷ 1 = 58, so 1 × 58 is a pair.
- 58 ÷ 2 = 29, so 2 × 29 is a pair.
- 3 does not go into 58 exactly.
- 4 does not go into 58 exactly.
- 5 does not go into 58 exactly.
- 6 does not go into 58 exactly.
- 7 does not go into 58 exactly.
Stop at 8: 8 × 8 = 64, which is more than 58. The next pair you would find is 29 × 2, which is 2 × 29 turned round, so you already have every pair.
More numbers
Check whether 58 is prime.
Questions parents ask
What is the largest factor of 58, apart from 58 itself?
29. Divide 58 by its smallest factor above 1, which is 2: 58 ÷ 2 = 29.
What do the factors of 58 add up to?
90. Leaving out 58 itself, they add up to 32, which is less than 58, so 58 is called a deficient number.
Which number after 58 has the same number of factors?
62. Like 58, it has exactly 4 factors.
Number facts are the base of 11+ maths
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