Is 48108121 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 48 108 121 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 48 108 121, the only two divisors are 1 and 48 108 121. Therefore 48 108 121 is a prime number.
As a consequence, 48 108 121 is only a multiple of 1 and 48 108 121.
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Since 48108121 is a prime number, 48108121 is also a deficient number, that is to say 48108121 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 48108121 without 48108121 itself (that is 1, by definition!).