Factors of 1984

2, 31. As a product: 2^6 × 31.

The factors of 1984 are 1, 2, 4, 8, 16, 31, 32, 62, 64, 124, 248, 496, 992, 1984. It has 14 factors.

Factors of 1984

Pick any whole number from 1 to 10,000.

1984 = 2^{6} \times 31

How to work it out

1
A factor of 1984 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1984 ≈ 44.54; every one that divides gives a pair.
2
The factor pairs are listed in the table below. Together they give 14 factors.
3
Prime factorisation: keep dividing by the smallest prime that fits.
$1984 = 2^{6} \times 31$
4
Add all the factors: the sum is 4064. Without 1984 itself that is 2080, so 1984 is an abundant number.

LaTeX source of the formulas on this page

\[ 1984 = 2^{6} \times 31 \]

What are the factors of 1984?

The factors of 1984 are 1, 2, 4, 8, 16, 31, 32, 62, 64, 124, 248, 496, 992, 1984. It has 14 factors.

What are the prime factors of 1984?

2, 31. As a product: $2^{6}$ × 31.

How many factors does 1984 have?

1984 has 14 factors (7 factor pairs).

What is the sum of the factors of 1984?

4064.

Is 1984 a prime number?

No. It is divisible by 2, so 1984 = 2 × 992.