It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 508 742 is not a prime number.
For example, 508 742 can be divided by 2: 508 742 / 2 = 254 371.
For 508 742 to be a prime number, it would have been required that 508 742 has only two divisors, i.e., itself and 1.
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508 742 is an even number, because it is evenly divisible by 2: 508 742 / 2 = 254 371.
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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 508 742 is about 713.262.
Thus, the square root of 508 742 is not an integer, and therefore 508 742 is not a square number.
The square of a number (here 508 742) is the result of the product of this number (508 742) by itself (i.e., 508 742 × 508 742); the square of 508 742 is sometimes called "raising 508 742 to the power 2", or "508 742 squared".
The square of 508 742 is 258 818 422 564 because 508 742 × 508 742 = 508 7422 = 258 818 422 564.
As a consequence, 508 742 is the square root of 258 818 422 564.
The multiples of 508 742 are all integers evenly divisible by 508 742, that is all numbers such that the remainder of the division by 508 742 is zero. There are infinitely many multiples of 508 742. The smallest multiples of 508 742 are: