It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 508 908 is not a prime number.
For example, 508 908 can be divided by 2: 508 908 / 2 = 254 454.
For 508 908 to be a prime number, it would have been required that 508 908 has only two divisors, i.e., itself and 1.
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508 908 is an even number, because it is evenly divisible by 2: 508 908 / 2 = 254 454.
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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 508 908 is about 713.378.
Thus, the square root of 508 908 is not an integer, and therefore 508 908 is not a square number.
The square of a number (here 508 908) is the result of the product of this number (508 908) by itself (i.e., 508 908 × 508 908); the square of 508 908 is sometimes called "raising 508 908 to the power 2", or "508 908 squared".
The square of 508 908 is 258 987 352 464 because 508 908 × 508 908 = 508 9082 = 258 987 352 464.
As a consequence, 508 908 is the square root of 258 987 352 464.
The multiples of 508 908 are all integers evenly divisible by 508 908, that is all numbers such that the remainder of the division by 508 908 is zero. There are infinitely many multiples of 508 908. The smallest multiples of 508 908 are: