Factors of 76
Every whole number that divides 76 exactly, the factor pairs, and how to find them yourself.
The answer
The factors of 76 are 1, 2, 4, 19, 38 and 76.
Factor pairs of 76
| Pair | Makes |
|---|---|
| 1 × 76 | 76 |
| 2 × 38 | 76 |
| 4 × 19 | 76 |
Prime factors of 76
- Prime factorisation
- 76 = 2 × 2 × 19 (2² × 19)
- Reading index form
- A small raised number tells you how many times to use that factor. For example, 2³ means 2 × 2 × 2.
- Is 76 prime?
- No. It has 6 factors, not just 1 and 76.
- Is 76 a square number?
- No. 8 × 8 = 64 and 9 × 9 = 81, so 76 falls between two square numbers.
How to find the factors of 76
76 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.
- 76 ÷ 1 = 76, so 1 × 76 is a pair.
- 76 ÷ 2 = 38, so 2 × 38 is a pair.
- 3 does not go into 76 exactly.
- 76 ÷ 4 = 19, so 4 × 19 is a pair.
- 5 does not go into 76 exactly.
- 6 does not go into 76 exactly.
- 7 does not go into 76 exactly.
- 8 does not go into 76 exactly.
Stop at 9: 9 × 9 = 81, which is more than 76. The next pair you would find is 19 × 4, which is 4 × 19 turned round, so you already have every pair.
76 in the times tables
4 × 19 = 76. Practise the 19 times table.
More numbers
Check whether 76 is prime.
Questions parents ask
What is the largest factor of 76, apart from 76 itself?
38. Divide 76 by its smallest factor above 1, which is 2: 76 ÷ 2 = 38.
What do the factors of 76 add up to?
140. Leaving out 76 itself, they add up to 64, which is less than 76, so 76 is called a deficient number.
Which number after 76 has the same number of factors?
92. Like 76, it has exactly 6 factors.
Continue your number practice
Explore the diagnostic for another set of practice questions.