Is 80971307 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 80 971 307 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 80 971 307, the only two divisors are 1 and 80 971 307. Therefore 80 971 307 is a prime number.
As a consequence, 80 971 307 is only a multiple of 1 and 80 971 307.
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Since 80971307 is a prime number, 80971307 is also a deficient number, that is to say 80971307 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 80971307 without 80971307 itself (that is 1, by definition!).