Is 748198831 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 748 198 831 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 748 198 831, the only two divisors are 1 and 748 198 831. Therefore 748 198 831 is a prime number.
As a consequence, 748 198 831 is only a multiple of 1 and 748 198 831.
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Since 748198831 is a prime number, 748198831 is also a deficient number, that is to say 748198831 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 748198831 without 748198831 itself (that is 1, by definition!).