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Is 784 a prime number?

No, 784 is not a prime number. It is divisible by 2: 784 = 2 × 392.

Is 784 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 √784 ≈ 28.00. If none of them divides 784, it is prime.

  3. 3

    2 divides 784 exactly, so it is not prime. Its prime factorisation is

    784=24×72784 = 2^{4} \times 7^{2}
LaTeX source of the formulas on this page
\[ 784 = 2^{4} \times 7^{2} \]

Testing 784 by the primes up to its square root

PrimeDivisionResult
2784 ÷ 2divides exactly (392)
3784 ÷ 3leaves 1
5784 ÷ 5leaves 4
7784 ÷ 7divides exactly (112)
11784 ÷ 11leaves 3
13784 ÷ 13leaves 4
17784 ÷ 17leaves 2
19784 ÷ 19leaves 5
23784 ÷ 23leaves 2

Questions

Is 784 a prime number?

No, 784 is not a prime number. It is divisible by 2: 784 = 2 × 392.

What is the next prime after 784?

787.

What is the prime number before 784?

773.

What are the factors of 784?

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784.

Nearby numbers

More about 784

    Is 784 a prime number? No, with proof | WordGPT