# Is 294 a prime number?

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

For 294, the answer is: No, 294 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 294) is as follows: 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294.

For 294 to be a prime number, it would have been required that 294 has only two divisors, i.e., itself and 1.

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As a consequence:

- 294 is a multiple of 1
- 294 is a multiple of 2
- 294 is a multiple of 3
- 294 is a multiple of 6
- 294 is a multiple of 7
- 294 is a multiple of 14
- 294 is a multiple of 21
- 294 is a multiple of 42
- 294 is a multiple of 49
- 294 is a multiple of 98
- 294 is a multiple of 147

For 294 to be a prime number, it would have been required that 294 has only two divisors, i.e., itself and 1.

### Is 294 a deficient number?

No, 294 is not a deficient number: to be deficient, 294 should have been such that 294 is larger than the sum of its proper divisors, i.e., the divisors of 294 without 294 itself (that is 1 + 2 + 3 + 6 + 7 + 14 + 21 + 42 + 49 + 98 + 147 = 390).

In fact, 294 is an abundant number; 294 is strictly smaller than the sum of its proper divisors (that is 1 + 2 + 3 + 6 + 7 + 14 + 21 + 42 + 49 + 98 + 147 = 390). The smallest abundant number is 12.