# Is 267 a prime number?

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

For 267, the answer is: No, 267 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 267) is as follows: 1, 3, 89, 267.

For 267 to be a prime number, it would have been required that 267 has only two divisors, i.e., itself and 1.

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As a consequence:

For 267 to be a prime number, it would have been required that 267 has only two divisors, i.e., itself and 1.

However, 267 is a **semiprime** (also called biprime or 2-almost-prime), because it is the product of a two non-necessarily distinct prime numbers. Indeed, 267 = 3 x 89, where 3 and 89 are both prime numbers.

### Is 267 a deficient number?

Yes, 267 is a deficient number, that is to say 267 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 267 without 267 itself (that is 1 + 3 + 89 = 93).