It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 508 404 is not a prime number.
For example, 508 404 can be divided by 2: 508 404 / 2 = 254 202.
For 508 404 to be a prime number, it would have been required that 508 404 has only two divisors, i.e., itself and 1.
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508 404 is an even number, because it is evenly divisible by 2: 508 404 / 2 = 254 202.
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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 508 404 is about 713.025.
Thus, the square root of 508 404 is not an integer, and therefore 508 404 is not a square number.
The square of a number (here 508 404) is the result of the product of this number (508 404) by itself (i.e., 508 404 × 508 404); the square of 508 404 is sometimes called "raising 508 404 to the power 2", or "508 404 squared".
The square of 508 404 is 258 474 627 216 because 508 404 × 508 404 = 508 4042 = 258 474 627 216.
As a consequence, 508 404 is the square root of 258 474 627 216.
The multiples of 508 404 are all integers evenly divisible by 508 404, that is all numbers such that the remainder of the division by 508 404 is zero. There are infinitely many multiples of 508 404. The smallest multiples of 508 404 are: