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Is 1264 a prime number?

No, 1264 is not a prime number. It is divisible by 2: 1264 = 2 × 632.

Is 1264 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 √1264 ≈ 35.55. If none of them divides 1264, it is prime.

  3. 3

    2 divides 1264 exactly, so it is not prime. Its prime factorisation is

    1264=24×791264 = 2^{4} \times 79
LaTeX source of the formulas on this page
\[ 1264 = 2^{4} \times 79 \]

Testing 1264 by the primes up to its square root

PrimeDivisionResult
21264 ÷ 2divides exactly (632)
31264 ÷ 3leaves 1
51264 ÷ 5leaves 4
71264 ÷ 7leaves 4
111264 ÷ 11leaves 10
131264 ÷ 13leaves 3
171264 ÷ 17leaves 6
191264 ÷ 19leaves 10
231264 ÷ 23leaves 22
291264 ÷ 29leaves 17
311264 ÷ 31leaves 24

Questions

Is 1264 a prime number?

No, 1264 is not a prime number. It is divisible by 2: 1264 = 2 × 632.

What is the next prime after 1264?

1277.

What is the prime number before 1264?

1259.

What are the factors of 1264?

1, 2, 4, 8, 16, 79, 158, 316, 632, 1264.

Nearby numbers

More about 1264

    Is 1264 a prime number? No, with proof | WordGPT