Factors of 38
Every whole number that divides 38 exactly, the factor pairs, and how to find them yourself.
The answer
The factors of 38 are 1, 2, 19 and 38.
Factor pairs of 38
| Pair | Makes |
|---|---|
| 1 × 38 | 38 |
| 2 × 19 | 38 |
Prime factors of 38
- Prime factorisation
- 38 = 2 × 19
- Is 38 prime?
- No. It has 4 factors, not just 1 and 38.
- Is 38 a square number?
- No. 6 × 6 = 36 and 7 × 7 = 49, so 38 falls between two square numbers.
How to find the factors of 38
38 is even, so 2 is sure to be a factor. Work up from 1 to 6, and write down both numbers in every pair you find.
- 38 ÷ 1 = 38, so 1 × 38 is a pair.
- 38 ÷ 2 = 19, so 2 × 19 is a pair.
- 3 does not go into 38 exactly.
- 4 does not go into 38 exactly.
- 5 does not go into 38 exactly.
- 6 does not go into 38 exactly.
Stop at 7: 7 × 7 = 49, which is more than 38. The next pair you would find is 19 × 2, which is 2 × 19 turned round, so you already have every pair.
38 in the times tables
2 × 19 = 38. Practise the 19 times table.
More numbers
Check whether 38 is prime.
Questions parents ask
What is the largest factor of 38, apart from 38 itself?
19. Divide 38 by its smallest factor above 1, which is 2: 38 ÷ 2 = 19.
What do the factors of 38 add up to?
60. Leaving out 38 itself, they add up to 22, which is less than 38, so 38 is called a deficient number.
Which number after 38 has the same number of factors?
39. Like 38, it has exactly 4 factors.
Continue your number practice
Explore the diagnostic for another set of practice questions.