# Is 948 a prime number?

It is possible to find out using mathematical methods whether a given integer is a prime number or not.

For 948, the answer is: No, 948 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 948) is as follows: 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948.

For 948 to be a prime number, it would have been required that 948 has only two divisors, i.e., itself and 1.

Find out more:

As a consequence:

- 948 is a multiple of 1
- 948 is a multiple of 2
- 948 is a multiple of 3
- 948 is a multiple of 4
- 948 is a multiple of 6
- 948 is a multiple of 12
- 948 is a multiple of 79
- 948 is a multiple of 158
- 948 is a multiple of 237
- 948 is a multiple of 316
- 948 is a multiple of 474

For 948 to be a prime number, it would have been required that 948 has only two divisors, i.e., itself and 1.

### Is 948 a deficient number?

No, 948 is not a deficient number: to be deficient, 948 should have been such that 948 is larger than the sum of its proper divisors, i.e., the divisors of 948 without 948 itself (that is 1 + 2 + 3 + 4 + 6 + 12 + 79 + 158 + 237 + 316 + 474 = 1 292).

In fact, 948 is an abundant number; 948 is strictly smaller than the sum of its proper divisors (that is 1 + 2 + 3 + 4 + 6 + 12 + 79 + 158 + 237 + 316 + 474 = 1 292). The smallest abundant number is 12.