# Is 301 a prime number?

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

For 301, the answer is: No, 301 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 301) is as follows: 1, 7, 43, 301.

For 301 to be a prime number, it would have been required that 301 has only two divisors, i.e., itself and 1.

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As a consequence:

For 301 to be a prime number, it would have been required that 301 has only two divisors, i.e., itself and 1.

However, 301 is a **semiprime** (also called biprime or 2-almost-prime), because it is the product of a two non-necessarily distinct prime numbers. Indeed, 301 = 7 x 43, where 7 and 43 are both prime numbers.

### Is 301 a deficient number?

Yes, 301 is a deficient number, that is to say 301 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 301 without 301 itself (that is 1 + 7 + 43 = 51).