Is 1972 a prime number?
No, 1972 is not a prime number. It is divisible by 2: 1972 = 2 × 986.
Is 1972 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 √1972 ≈ 44.41. If none of them divides 1972, it is prime.
- 3
2 divides 1972 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1972 = 2^{2} \times 17 \times 29 \]Testing 1972 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1972 ÷ 2 | divides exactly (986) |
| 3 | 1972 ÷ 3 | leaves 1 |
| 5 | 1972 ÷ 5 | leaves 2 |
| 7 | 1972 ÷ 7 | leaves 5 |
| 11 | 1972 ÷ 11 | leaves 3 |
| 13 | 1972 ÷ 13 | leaves 9 |
| 17 | 1972 ÷ 17 | divides exactly (116) |
| 19 | 1972 ÷ 19 | leaves 15 |
| 23 | 1972 ÷ 23 | leaves 17 |
| 29 | 1972 ÷ 29 | divides exactly (68) |
| 31 | 1972 ÷ 31 | leaves 19 |
| 37 | 1972 ÷ 37 | leaves 11 |
Questions
Is 1972 a prime number?
No, 1972 is not a prime number. It is divisible by 2: 1972 = 2 × 986.
What is the next prime after 1972?
1973.
What is the prime number before 1972?
1951.
What are the factors of 1972?
1, 2, 4, 17, 29, 34, 58, 68, 116, 493, 986, 1972.