Factors of 7744

2, 11. As a product: 2^6 × 11^2.

The factors of 7744 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 121, 176, 242, 352, 484, 704, 968, 1936, 3872, 7744. It has 21 factors.

Factors of 7744

Pick any whole number from 1 to 10,000.

7744 = 2^{6} \times 11^{2}

How to work it out

1
A factor of 7744 is a whole number that divides it with nothing left over. You only need to test the numbers up to √7744 ≈ 88.00; every one that divides gives a pair.
2
The factor pairs are listed in the table below. Together they give 21 factors.
3
Prime factorisation: keep dividing by the smallest prime that fits.
$7744 = 2^{6} \times 11^{2}$
4
Add all the factors: the sum is 16891. Without 7744 itself that is 9147, so 7744 is an abundant number.

LaTeX source of the formulas on this page

\[ 7744 = 2^{6} \times 11^{2} \]

What are the factors of 7744?

The factors of 7744 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 121, 176, 242, 352, 484, 704, 968, 1936, 3872, 7744. It has 21 factors.

What are the prime factors of 7744?

2, 11. As a product: $2^{6}$ × $11^{2}$ .

How many factors does 7744 have?

7744 has 21 factors (11 factor pairs, one of them 88 × 88).

What is the sum of the factors of 7744?

16891.

Is 7744 a prime number?

No. It is divisible by 2, so 7744 = 2 × 3872.