Is 698299313 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 698 299 313 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 698 299 313, the only two divisors are 1 and 698 299 313. Therefore 698 299 313 is a prime number.
As a consequence, 698 299 313 is only a multiple of 1 and 698 299 313.
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Since 698299313 is a prime number, 698299313 is also a deficient number, that is to say 698299313 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 698299313 without 698299313 itself (that is 1, by definition!).
