Is 153431609 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 153 431 609 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 153 431 609, the only two divisors are 1 and 153 431 609. Therefore 153 431 609 is a prime number.
As a consequence, 153 431 609 is only a multiple of 1 and 153 431 609.
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Since 153431609 is a prime number, 153431609 is also a deficient number, that is to say 153431609 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 153431609 without 153431609 itself (that is 1, by definition!).