Factors of 1944

2, 3. As a product: 2^3 × 3^5.

The factors of 1944 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 243, 324, 486, 648, 972, 1944. It has 24 factors.

Factors of 1944

Pick any whole number from 1 to 10,000.

1944 = 2^{3} \times 3^{5}

How to work it out

1
A factor of 1944 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1944 ≈ 44.09; every one that divides gives a pair.
2
The factor pairs are listed in the table below. Together they give 24 factors.
3
Prime factorisation: keep dividing by the smallest prime that fits.
$1944 = 2^{3} \times 3^{5}$
4
Add all the factors: the sum is 5460. Without 1944 itself that is 3516, so 1944 is an abundant number.

LaTeX source of the formulas on this page

\[ 1944 = 2^{3} \times 3^{5} \]

What are the factors of 1944?

The factors of 1944 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 243, 324, 486, 648, 972, 1944. It has 24 factors.

What are the prime factors of 1944?

2, 3. As a product: $2^{3}$ × $3^{5}$ .

How many factors does 1944 have?

1944 has 24 factors (12 factor pairs).

What is the sum of the factors of 1944?

5460.

Is 1944 a prime number?

No. It is divisible by 2, so 1944 = 2 × 972.