Is 952 a prime number?
No, 952 is not a prime number. It is divisible by 2: 952 = 2 × 476.
Is 952 prime?
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A prime number has exactly two factors: 1 and itself.
- 2
It is enough to test the primes up to √952 ≈ 30.85. If none of them divides 952, it is prime.
- 3
2 divides 952 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 952 = 2^{3} \times 7 \times 17 \]Testing 952 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 952 ÷ 2 | divides exactly (476) |
| 3 | 952 ÷ 3 | leaves 1 |
| 5 | 952 ÷ 5 | leaves 2 |
| 7 | 952 ÷ 7 | divides exactly (136) |
| 11 | 952 ÷ 11 | leaves 6 |
| 13 | 952 ÷ 13 | leaves 3 |
| 17 | 952 ÷ 17 | divides exactly (56) |
| 19 | 952 ÷ 19 | leaves 2 |
| 23 | 952 ÷ 23 | leaves 9 |
| 29 | 952 ÷ 29 | leaves 24 |
Questions
Is 952 a prime number?
No, 952 is not a prime number. It is divisible by 2: 952 = 2 × 476.
What is the next prime after 952?
953.
What is the prime number before 952?
947.
What are the factors of 952?
1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952.