Is 315430231 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 315 430 231 is a prime number.
Indeed, the definition of a prime numbers is to have exactly two distinct positive divisors, 1 and itself. A number is a divisor of another number when the remainder of Euclid’s division of the second one by the first one is zero. Concerning the number 315 430 231, the only two divisors are 1 and 315 430 231. Therefore 315 430 231 is a prime number.
As a consequence, 315 430 231 is only a multiple of 1 and 315 430 231.
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Since 315430231 is a prime number, 315430231 is also a deficient number, that is to say 315430231 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 315430231 without 315430231 itself (that is 1, by definition!).