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Is 297 a prime number?

No, 297 is not a prime number. It is divisible by 3: 297 = 3 × 99.

Is 297 prime?

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    A prime number has exactly two factors: 1 and itself.

  2. 2

    It is enough to test the primes up to √297 ≈ 17.23. If none of them divides 297, it is prime.

  3. 3

    3 divides 297 exactly, so it is not prime. Its prime factorisation is

    297=33×11297 = 3^{3} \times 11
LaTeX source of the formulas on this page
\[ 297 = 3^{3} \times 11 \]

Testing 297 by the primes up to its square root

PrimeDivisionResult
2297 ÷ 2leaves 1
3297 ÷ 3divides exactly (99)
5297 ÷ 5leaves 2
7297 ÷ 7leaves 3
11297 ÷ 11divides exactly (27)
13297 ÷ 13leaves 11
17297 ÷ 17leaves 8

Questions

Is 297 a prime number?

No, 297 is not a prime number. It is divisible by 3: 297 = 3 × 99.

What is the next prime after 297?

307.

What is the prime number before 297?

293.

What are the factors of 297?

1, 3, 9, 11, 27, 33, 99, 297.

Nearby numbers

More about 297

    Is 297 a prime number? No, with proof | WordGPT