Is 748624343 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 748 624 343 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 748 624 343, the only two divisors are 1 and 748 624 343. Therefore 748 624 343 is a prime number.
As a consequence, 748 624 343 is only a multiple of 1 and 748 624 343.
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Since 748624343 is a prime number, 748624343 is also a deficient number, that is to say 748624343 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 748624343 without 748624343 itself (that is 1, by definition!).