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Is 150 a prime number?

No, 150 is not a prime number. It is divisible by 2: 150 = 2 × 75.

Is 150 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 √150 ≈ 12.25. If none of them divides 150, it is prime.

  3. 3

    2 divides 150 exactly, so it is not prime. Its prime factorisation is

    150=2×3×52150 = 2 \times 3 \times 5^{2}
LaTeX source of the formulas on this page
\[ 150 = 2 \times 3 \times 5^{2} \]

Testing 150 by the primes up to its square root

PrimeDivisionResult
2150 ÷ 2divides exactly (75)
3150 ÷ 3divides exactly (50)
5150 ÷ 5divides exactly (30)
7150 ÷ 7leaves 3
11150 ÷ 11leaves 7

Questions

Is 150 a prime number?

No, 150 is not a prime number. It is divisible by 2: 150 = 2 × 75.

What is the next prime after 150?

151.

What is the prime number before 150?

149.

What are the factors of 150?

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150.

Nearby numbers

More about 150

    Is 150 a prime number? No, with proof | WordGPT