It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 231 313 is not a prime number.
For example, 231 313 can be divided by 227: 231 313 / 227 = 1 019.
For 231 313 to be a prime number, it would have been required that 231 313 has only two divisors, i.e., itself and 1.
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231 313 is an odd number, because it is not evenly divisible by 2.
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A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 231 313 is about 480.950.
Thus, the square root of 231 313 is not an integer, and therefore 231 313 is not a square number.
The square of a number (here 231 313) is the result of the product of this number (231 313) by itself (i.e., 231 313 × 231 313); the square of 231 313 is sometimes called "raising 231 313 to the power 2", or "231 313 squared".
The square of 231 313 is 53 505 703 969 because 231 313 × 231 313 = 231 3132 = 53 505 703 969.
As a consequence, 231 313 is the square root of 53 505 703 969.
The multiples of 231 313 are all integers evenly divisible by 231 313, that is all numbers such that the remainder of the division by 231 313 is zero. There are infinitely many multiples of 231 313. The smallest multiples of 231 313 are: