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Is 165 a prime number?

No, 165 is not a prime number. It is divisible by 3: 165 = 3 × 55.

Is 165 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 √165 ≈ 12.85. If none of them divides 165, it is prime.

  3. 3

    3 divides 165 exactly, so it is not prime. Its prime factorisation is

    165=3×5×11165 = 3 \times 5 \times 11
LaTeX source of the formulas on this page
\[ 165 = 3 \times 5 \times 11 \]

Testing 165 by the primes up to its square root

PrimeDivisionResult
2165 ÷ 2leaves 1
3165 ÷ 3divides exactly (55)
5165 ÷ 5divides exactly (33)
7165 ÷ 7leaves 4
11165 ÷ 11divides exactly (15)

Questions

Is 165 a prime number?

No, 165 is not a prime number. It is divisible by 3: 165 = 3 × 55.

What is the next prime after 165?

167.

What is the prime number before 165?

163.

What are the factors of 165?

1, 3, 5, 11, 15, 33, 55, 165.

Nearby numbers

More about 165

    Is 165 a prime number? No, with proof | WordGPT