It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 508 402 is not a prime number.
For example, 508 402 can be divided by 2: 508 402 / 2 = 254 201.
For 508 402 to be a prime number, it would have been required that 508 402 has only two divisors, i.e., itself and 1.
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508 402 is an even number, because it is evenly divisible by 2: 508 402 / 2 = 254 201.
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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 508 402 is about 713.023.
Thus, the square root of 508 402 is not an integer, and therefore 508 402 is not a square number.
The square of a number (here 508 402) is the result of the product of this number (508 402) by itself (i.e., 508 402 × 508 402); the square of 508 402 is sometimes called "raising 508 402 to the power 2", or "508 402 squared".
The square of 508 402 is 258 472 593 604 because 508 402 × 508 402 = 508 4022 = 258 472 593 604.
As a consequence, 508 402 is the square root of 258 472 593 604.
The multiples of 508 402 are all integers evenly divisible by 508 402, that is all numbers such that the remainder of the division by 508 402 is zero. There are infinitely many multiples of 508 402. The smallest multiples of 508 402 are: