Is 42589303 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 42 589 303 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 42 589 303, the only two divisors are 1 and 42 589 303. Therefore 42 589 303 is a prime number.
As a consequence, 42 589 303 is only a multiple of 1 and 42 589 303.
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Since 42589303 is a prime number, 42589303 is also a deficient number, that is to say 42589303 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 42589303 without 42589303 itself (that is 1, by definition!).