Is 100978321 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 100 978 321 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 100 978 321, the only two divisors are 1 and 100 978 321. Therefore 100 978 321 is a prime number.
As a consequence, 100 978 321 is only a multiple of 1 and 100 978 321.
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Since 100978321 is a prime number, 100978321 is also a deficient number, that is to say 100978321 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 100978321 without 100978321 itself (that is 1, by definition!).