Is 42908053 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 42 908 053 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 42 908 053, the only two divisors are 1 and 42 908 053. Therefore 42 908 053 is a prime number.
As a consequence, 42 908 053 is only a multiple of 1 and 42 908 053.
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Since 42908053 is a prime number, 42908053 is also a deficient number, that is to say 42908053 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 42908053 without 42908053 itself (that is 1, by definition!).