Is 74709029 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 74 709 029 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 74 709 029, the only two divisors are 1 and 74 709 029. Therefore 74 709 029 is a prime number.
As a consequence, 74 709 029 is only a multiple of 1 and 74 709 029.
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Since 74709029 is a prime number, 74709029 is also a deficient number, that is to say 74709029 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 74709029 without 74709029 itself (that is 1, by definition!).
