Is 42790313 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 42 790 313 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 42 790 313, the only two divisors are 1 and 42 790 313. Therefore 42 790 313 is a prime number.
As a consequence, 42 790 313 is only a multiple of 1 and 42 790 313.
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Since 42790313 is a prime number, 42790313 is also a deficient number, that is to say 42790313 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 42790313 without 42790313 itself (that is 1, by definition!).