It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 508 708 is not a prime number.
For example, 508 708 can be divided by 2: 508 708 / 2 = 254 354.
For 508 708 to be a prime number, it would have been required that 508 708 has only two divisors, i.e., itself and 1.
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508 708 is an even number, because it is evenly divisible by 2: 508 708 / 2 = 254 354.
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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 508 708 is about 713.238.
Thus, the square root of 508 708 is not an integer, and therefore 508 708 is not a square number.
The square of a number (here 508 708) is the result of the product of this number (508 708) by itself (i.e., 508 708 × 508 708); the square of 508 708 is sometimes called "raising 508 708 to the power 2", or "508 708 squared".
The square of 508 708 is 258 783 829 264 because 508 708 × 508 708 = 508 7082 = 258 783 829 264.
As a consequence, 508 708 is the square root of 258 783 829 264.
The multiples of 508 708 are all integers evenly divisible by 508 708, that is all numbers such that the remainder of the division by 508 708 is zero. There are infinitely many multiples of 508 708. The smallest multiples of 508 708 are: