It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 508 316 is not a prime number.
For example, 508 316 can be divided by 2: 508 316 / 2 = 254 158.
For 508 316 to be a prime number, it would have been required that 508 316 has only two divisors, i.e., itself and 1.
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508 316 is an even number, because it is evenly divisible by 2: 508 316 / 2 = 254 158.
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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 508 316 is about 712.963.
Thus, the square root of 508 316 is not an integer, and therefore 508 316 is not a square number.
The square of a number (here 508 316) is the result of the product of this number (508 316) by itself (i.e., 508 316 × 508 316); the square of 508 316 is sometimes called "raising 508 316 to the power 2", or "508 316 squared".
The square of 508 316 is 258 385 155 856 because 508 316 × 508 316 = 508 3162 = 258 385 155 856.
As a consequence, 508 316 is the square root of 258 385 155 856.
The multiples of 508 316 are all integers evenly divisible by 508 316, that is all numbers such that the remainder of the division by 508 316 is zero. There are infinitely many multiples of 508 316. The smallest multiples of 508 316 are: