Factors of 74
Every whole number that divides 74 exactly, the factor pairs, and how to find them yourself.
The answer
The factors of 74 are 1, 2, 37 and 74.
Factor pairs of 74
| Pair | Makes |
|---|---|
| 1 × 74 | 74 |
| 2 × 37 | 74 |
Prime factors of 74
- Prime factorisation
- 74 = 2 × 37
- Is 74 prime?
- No. It has 4 factors, not just 1 and 74.
- Is 74 a square number?
- No. 8 × 8 = 64 and 9 × 9 = 81, so 74 falls between two square numbers.
How to find the factors of 74
74 is even, so 2 is sure to be a factor. Work up from 1 to 8, and write down both numbers in every pair you find.
- 74 ÷ 1 = 74, so 1 × 74 is a pair.
- 74 ÷ 2 = 37, so 2 × 37 is a pair.
- 3 does not go into 74 exactly.
- 4 does not go into 74 exactly.
- 5 does not go into 74 exactly.
- 6 does not go into 74 exactly.
- 7 does not go into 74 exactly.
- 8 does not go into 74 exactly.
Stop at 9: 9 × 9 = 81, which is more than 74. The next pair you would find is 37 × 2, which is 2 × 37 turned round, so you already have every pair.
More numbers
Check whether 74 is prime.
Questions parents ask
What is the largest factor of 74, apart from 74 itself?
37. Divide 74 by its smallest factor above 1, which is 2: 74 ÷ 2 = 37.
What do the factors of 74 add up to?
114. Leaving out 74 itself, they add up to 40, which is less than 74, so 74 is called a deficient number.
Which number after 74 has the same number of factors?
77. Like 74, it has exactly 4 factors.
Number facts are the base of 11+ maths
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