Factors of 784

2, 7. As a product: 2^4 × 7^2.

The factors of 784 are 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784. It has 15 factors.

Factors of 784

Pick any whole number from 1 to 10,000.

784 = 2^{4} \times 7^{2}

How to work it out

1
A factor of 784 is a whole number that divides it with nothing left over. You only need to test the numbers up to √784 ≈ 28.00; every one that divides gives a pair.
2
The factor pairs are listed in the table below. Together they give 15 factors.
3
Prime factorisation: keep dividing by the smallest prime that fits.
$784 = 2^{4} \times 7^{2}$
4
Add all the factors: the sum is 1767. Without 784 itself that is 983, so 784 is an abundant number.

LaTeX source of the formulas on this page

\[ 784 = 2^{4} \times 7^{2} \]

What are the factors of 784?

The factors of 784 are 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784. It has 15 factors.

What are the prime factors of 784?

2, 7. As a product: $2^{4}$ × $7^{2}$ .

How many factors does 784 have?

784 has 15 factors (8 factor pairs, one of them 28 × 28).

What is the sum of the factors of 784?

1767.

Is 784 a prime number?

No. It is divisible by 2, so 784 = 2 × 392.