Is 48430313 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 48 430 313 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 48 430 313, the only two divisors are 1 and 48 430 313. Therefore 48 430 313 is a prime number.
As a consequence, 48 430 313 is only a multiple of 1 and 48 430 313.
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Since 48430313 is a prime number, 48430313 is also a deficient number, that is to say 48430313 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 48430313 without 48430313 itself (that is 1, by definition!).
