Is 48768263 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 48 768 263 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 48 768 263, the only two divisors are 1 and 48 768 263. Therefore 48 768 263 is a prime number.
As a consequence, 48 768 263 is only a multiple of 1 and 48 768 263.
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Since 48768263 is a prime number, 48768263 is also a deficient number, that is to say 48768263 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 48768263 without 48768263 itself (that is 1, by definition!).
