Factors of 1971

3, 73. As a product: 3^3 × 73.

The factors of 1971 are 1, 3, 9, 27, 73, 219, 657, 1971. It has 8 factors.

Factors of 1971

Pick any whole number from 1 to 10,000.

1971 = 3^{3} \times 73

How to work it out

1
A factor of 1971 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1971 ≈ 44.40; every one that divides gives a pair.
2
The factor pairs are listed in the table below. Together they give 8 factors.
3
Prime factorisation: keep dividing by the smallest prime that fits.
$1971 = 3^{3} \times 73$
4
Add all the factors: 1 + 3 + 9 + 27 + 73 + 219 + 657 + 1971 = 2960. Without 1971 itself that is 989, so 1971 is a deficient number.

LaTeX source of the formulas on this page

\[ 1971 = 3^{3} \times 73 \]

What are the factors of 1971?

The factors of 1971 are 1, 3, 9, 27, 73, 219, 657, 1971. It has 8 factors.

What are the prime factors of 1971?

3, 73. As a product: $3^{3}$ × 73.

How many factors does 1971 have?

1971 has 8 factors (4 factor pairs).

What is the sum of the factors of 1971?

2960.

Is 1971 a prime number?

No. It is divisible by 3, so 1971 = 3 × 657.