It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 504 302 is not a prime number.
For example, 504 302 can be divided by 2: 504 302 / 2 = 252 151.
For 504 302 to be a prime number, it would have been required that 504 302 has only two divisors, i.e., itself and 1.
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504 302 is an even number, because it is evenly divisible by 2: 504 302 / 2 = 252 151.
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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 504 302 is about 710.142.
Thus, the square root of 504 302 is not an integer, and therefore 504 302 is not a square number.
The square of a number (here 504 302) is the result of the product of this number (504 302) by itself (i.e., 504 302 × 504 302); the square of 504 302 is sometimes called "raising 504 302 to the power 2", or "504 302 squared".
The square of 504 302 is 254 320 507 204 because 504 302 × 504 302 = 504 3022 = 254 320 507 204.
As a consequence, 504 302 is the square root of 254 320 507 204.
The multiples of 504 302 are all integers evenly divisible by 504 302, that is all numbers such that the remainder of the division by 504 302 is zero. There are infinitely many multiples of 504 302. The smallest multiples of 504 302 are: