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Is 147 a prime number?

No, 147 is not a prime number. It is divisible by 3: 147 = 3 × 49.

Is 147 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 √147 ≈ 12.12. If none of them divides 147, it is prime.

  3. 3

    3 divides 147 exactly, so it is not prime. Its prime factorisation is

    147=3×72147 = 3 \times 7^{2}
LaTeX source of the formulas on this page
\[ 147 = 3 \times 7^{2} \]

Testing 147 by the primes up to its square root

PrimeDivisionResult
2147 ÷ 2leaves 1
3147 ÷ 3divides exactly (49)
5147 ÷ 5leaves 2
7147 ÷ 7divides exactly (21)
11147 ÷ 11leaves 4

Questions

Is 147 a prime number?

No, 147 is not a prime number. It is divisible by 3: 147 = 3 × 49.

What is the next prime after 147?

149.

What is the prime number before 147?

139.

What are the factors of 147?

1, 3, 7, 21, 49, 147.

Nearby numbers

More about 147

    Is 147 a prime number? No, with proof | WordGPT