Is 753 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
For 753, the answer is: No, 753 is not a prime number.
The list of all positive divisors (i.e., the list of all integers that divide 753) is as follows: 1, 3, 251, 753.
For 753 to be a prime number, it would have been required that 753 has only two divisors, i.e., itself and 1.
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As a consequence:
For 753 to be a prime number, it would have been required that 753 has only two divisors, i.e., itself and 1.
However, 753 is a semiprime (also called biprime or 2-almost-prime), because it is the product of a two non-necessarily distinct prime numbers. Indeed, 753 = 3 x 251, where 3 and 251 are both prime numbers.
Is 753 a deficient number?
Yes, 753 is a deficient number, that is to say 753 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 753 without 753 itself (that is 1 + 3 + 251 = 255).