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Is 948 a prime number?

No, 948 is not a prime number. It is divisible by 2: 948 = 2 × 474.

Is 948 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 √948 ≈ 30.79. If none of them divides 948, it is prime.

  3. 3

    2 divides 948 exactly, so it is not prime. Its prime factorisation is

    948=22×3×79948 = 2^{2} \times 3 \times 79
LaTeX source of the formulas on this page
\[ 948 = 2^{2} \times 3 \times 79 \]

Testing 948 by the primes up to its square root

PrimeDivisionResult
2948 ÷ 2divides exactly (474)
3948 ÷ 3divides exactly (316)
5948 ÷ 5leaves 3
7948 ÷ 7leaves 3
11948 ÷ 11leaves 2
13948 ÷ 13leaves 12
17948 ÷ 17leaves 13
19948 ÷ 19leaves 17
23948 ÷ 23leaves 5
29948 ÷ 29leaves 20

Questions

Is 948 a prime number?

No, 948 is not a prime number. It is divisible by 2: 948 = 2 × 474.

What is the next prime after 948?

953.

What is the prime number before 948?

947.

What are the factors of 948?

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948.

Nearby numbers

More about 948

    Is 948 a prime number? No, with proof | WordGPT