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Is 744 a prime number?

No, 744 is not a prime number. It is divisible by 2: 744 = 2 × 372.

Is 744 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 √744 ≈ 27.28. If none of them divides 744, it is prime.

  3. 3

    2 divides 744 exactly, so it is not prime. Its prime factorisation is

    744=23×3×31744 = 2^{3} \times 3 \times 31
LaTeX source of the formulas on this page
\[ 744 = 2^{3} \times 3 \times 31 \]

Testing 744 by the primes up to its square root

PrimeDivisionResult
2744 ÷ 2divides exactly (372)
3744 ÷ 3divides exactly (248)
5744 ÷ 5leaves 4
7744 ÷ 7leaves 2
11744 ÷ 11leaves 7
13744 ÷ 13leaves 3
17744 ÷ 17leaves 13
19744 ÷ 19leaves 3
23744 ÷ 23leaves 8

Questions

Is 744 a prime number?

No, 744 is not a prime number. It is divisible by 2: 744 = 2 × 372.

What is the next prime after 744?

751.

What is the prime number before 744?

743.

What are the factors of 744?

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744.

Nearby numbers

More about 744

    Is 744 a prime number? No, with proof | WordGPT