It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 508 202 is not a prime number.
For example, 508 202 can be divided by 2: 508 202 / 2 = 254 101.
For 508 202 to be a prime number, it would have been required that 508 202 has only two divisors, i.e., itself and 1.
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508 202 is an even number, because it is evenly divisible by 2: 508 202 / 2 = 254 101.
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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 508 202 is about 712.883.
Thus, the square root of 508 202 is not an integer, and therefore 508 202 is not a square number.
The square of a number (here 508 202) is the result of the product of this number (508 202) by itself (i.e., 508 202 × 508 202); the square of 508 202 is sometimes called "raising 508 202 to the power 2", or "508 202 squared".
The square of 508 202 is 258 269 272 804 because 508 202 × 508 202 = 508 2022 = 258 269 272 804.
As a consequence, 508 202 is the square root of 258 269 272 804.
The multiples of 508 202 are all integers evenly divisible by 508 202, that is all numbers such that the remainder of the division by 508 202 is zero. There are infinitely many multiples of 508 202. The smallest multiples of 508 202 are: