Is 33 a prime number?
No, 33 is not a prime number. It is divisible by 3: 33 = 3 × 11.
Is 33 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 √33 ≈ 5.74. If none of them divides 33, it is prime.
- 3
3 divides 33 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 33 = 3 \times 11 \]
Testing 33 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 33 ÷ 2 | leaves 1 |
| 3 | 33 ÷ 3 | divides exactly (11) |
| 5 | 33 ÷ 5 | leaves 3 |
Questions
Is 33 a prime number?
No, 33 is not a prime number. It is divisible by 3: 33 = 3 × 11.
What is the next prime after 33?
37.
What is the prime number before 33?
31.
What are the factors of 33?
1, 3, 11, 33.