Is 35607709 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 35 607 709 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 35 607 709, the only two divisors are 1 and 35 607 709. Therefore 35 607 709 is a prime number.
As a consequence, 35 607 709 is only a multiple of 1 and 35 607 709.
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Since 35607709 is a prime number, 35607709 is also a deficient number, that is to say 35607709 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 35607709 without 35607709 itself (that is 1, by definition!).