Factors of 93
Every whole number that divides 93 exactly, the factor pairs, and how to find them yourself.
The answer
The factors of 93 are 1, 3, 31 and 93.
Factor pairs of 93
| Pair | Makes |
|---|---|
| 1 × 93 | 93 |
| 3 × 31 | 93 |
Prime factors of 93
- Prime factorisation
- 93 = 3 × 31
- Is 93 prime?
- No. It has 4 factors, not just 1 and 93.
- Is 93 a square number?
- No. 9 × 9 = 81 and 10 × 10 = 100, so 93 falls between two square numbers.
How to find the factors of 93
93 is odd, so every even number you try will fail. Its digits add up to 12, a multiple of 3, so 3 is a factor. Work up from 1 to 9, and write down both numbers in every pair you find.
- 93 ÷ 1 = 93, so 1 × 93 is a pair.
- 2 does not go into 93 exactly.
- 93 ÷ 3 = 31, so 3 × 31 is a pair.
- 4 does not go into 93 exactly.
- 5 does not go into 93 exactly.
- 6 does not go into 93 exactly.
- 7 does not go into 93 exactly.
- 8 does not go into 93 exactly.
- 9 does not go into 93 exactly.
Stop at 10: 10 × 10 = 100, which is more than 93. The next pair you would find is 31 × 3, which is 3 × 31 turned round, so you already have every pair.
More numbers
Check whether 93 is prime.
Questions parents ask
What is the largest factor of 93, apart from 93 itself?
31. Divide 93 by its smallest factor above 1, which is 3: 93 ÷ 3 = 31.
What do the factors of 93 add up to?
128. Leaving out 93 itself, they add up to 35, which is less than 93, so 93 is called a deficient number.
Which number after 93 has the same number of factors?
94. Like 93, it has exactly 4 factors.
Number facts are the base of 11+ maths
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