It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 508 342 is not a prime number.
For example, 508 342 can be divided by 2: 508 342 / 2 = 254 171.
For 508 342 to be a prime number, it would have been required that 508 342 has only two divisors, i.e., itself and 1.
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508 342 is an even number, because it is evenly divisible by 2: 508 342 / 2 = 254 171.
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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 508 342 is about 712.981.
Thus, the square root of 508 342 is not an integer, and therefore 508 342 is not a square number.
The square of a number (here 508 342) is the result of the product of this number (508 342) by itself (i.e., 508 342 × 508 342); the square of 508 342 is sometimes called "raising 508 342 to the power 2", or "508 342 squared".
The square of 508 342 is 258 411 588 964 because 508 342 × 508 342 = 508 3422 = 258 411 588 964.
As a consequence, 508 342 is the square root of 258 411 588 964.
The multiples of 508 342 are all integers evenly divisible by 508 342, that is all numbers such that the remainder of the division by 508 342 is zero. There are infinitely many multiples of 508 342. The smallest multiples of 508 342 are: