It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 508 204 is not a prime number.
For example, 508 204 can be divided by 2: 508 204 / 2 = 254 102.
For 508 204 to be a prime number, it would have been required that 508 204 has only two divisors, i.e., itself and 1.
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508 204 is an even number, because it is evenly divisible by 2: 508 204 / 2 = 254 102.
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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 508 204 is about 712.884.
Thus, the square root of 508 204 is not an integer, and therefore 508 204 is not a square number.
The square of a number (here 508 204) is the result of the product of this number (508 204) by itself (i.e., 508 204 × 508 204); the square of 508 204 is sometimes called "raising 508 204 to the power 2", or "508 204 squared".
The square of 508 204 is 258 271 305 616 because 508 204 × 508 204 = 508 2042 = 258 271 305 616.
As a consequence, 508 204 is the square root of 258 271 305 616.
The multiples of 508 204 are all integers evenly divisible by 508 204, that is all numbers such that the remainder of the division by 508 204 is zero. There are infinitely many multiples of 508 204. The smallest multiples of 508 204 are: