# Is 431 a prime number?

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

For 431, the answer is: yes, 431 is a prime number because it has only two distinct divisors: 1 and itself (431).

As a consequence, 431 is only a multiple of 1 and 431.

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Since 431 is a prime number, 431 is also a deficient number, that is to say 431 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 431 without 431 itself (that is 1, by definition!).