Factors of 1948

2, 487. As a product: 2^2 × 487.

The factors of 1948 are 1, 2, 4, 487, 974, 1948. It has 6 factors.

Factors of 1948

Pick any whole number from 1 to 10,000.

1948 = 2^{2} \times 487

How to work it out

1
A factor of 1948 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1948 ≈ 44.14; every one that divides gives a pair.
2
The factor pairs are listed in the table below. Together they give 6 factors.
3
Prime factorisation: keep dividing by the smallest prime that fits.
$1948 = 2^{2} \times 487$
4
Add all the factors: 1 + 2 + 4 + 487 + 974 + 1948 = 3416. Without 1948 itself that is 1468, so 1948 is a deficient number.

LaTeX source of the formulas on this page

\[ 1948 = 2^{2} \times 487 \]

What are the factors of 1948?

The factors of 1948 are 1, 2, 4, 487, 974, 1948. It has 6 factors.

What are the prime factors of 1948?

2, 487. As a product: $2^{2}$ × 487.

How many factors does 1948 have?

1948 has 6 factors (3 factor pairs).

What is the sum of the factors of 1948?

3416.

Is 1948 a prime number?

No. It is divisible by 2, so 1948 = 2 × 974.