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Is 120 a prime number?

No, 120 is not a prime number. It is divisible by 2: 120 = 2 × 60.

Is 120 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 √120 ≈ 10.95. If none of them divides 120, it is prime.

  3. 3

    2 divides 120 exactly, so it is not prime. Its prime factorisation is

    120=23×3×5120 = 2^{3} \times 3 \times 5
LaTeX source of the formulas on this page
\[ 120 = 2^{3} \times 3 \times 5 \]

Testing 120 by the primes up to its square root

PrimeDivisionResult
2120 ÷ 2divides exactly (60)
3120 ÷ 3divides exactly (40)
5120 ÷ 5divides exactly (24)
7120 ÷ 7leaves 1

Questions

Is 120 a prime number?

No, 120 is not a prime number. It is divisible by 2: 120 = 2 × 60.

What is the next prime after 120?

127.

What is the prime number before 120?

113.

What are the factors of 120?

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120.

Nearby numbers

More about 120

    Is 120 a prime number? No, with proof | WordGPT