It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 508 334 is not a prime number.
For example, 508 334 can be divided by 2: 508 334 / 2 = 254 167.
For 508 334 to be a prime number, it would have been required that 508 334 has only two divisors, i.e., itself and 1.
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508 334 is an even number, because it is evenly divisible by 2: 508 334 / 2 = 254 167.
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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 508 334 is about 712.975.
Thus, the square root of 508 334 is not an integer, and therefore 508 334 is not a square number.
The square of a number (here 508 334) is the result of the product of this number (508 334) by itself (i.e., 508 334 × 508 334); the square of 508 334 is sometimes called "raising 508 334 to the power 2", or "508 334 squared".
The square of 508 334 is 258 403 455 556 because 508 334 × 508 334 = 508 3342 = 258 403 455 556.
As a consequence, 508 334 is the square root of 258 403 455 556.
The multiples of 508 334 are all integers evenly divisible by 508 334, that is all numbers such that the remainder of the division by 508 334 is zero. There are infinitely many multiples of 508 334. The smallest multiples of 508 334 are: