It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 508 234 is not a prime number.
For example, 508 234 can be divided by 2: 508 234 / 2 = 254 117.
For 508 234 to be a prime number, it would have been required that 508 234 has only two divisors, i.e., itself and 1.
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508 234 is an even number, because it is evenly divisible by 2: 508 234 / 2 = 254 117.
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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 508 234 is about 712.905.
Thus, the square root of 508 234 is not an integer, and therefore 508 234 is not a square number.
The square of a number (here 508 234) is the result of the product of this number (508 234) by itself (i.e., 508 234 × 508 234); the square of 508 234 is sometimes called "raising 508 234 to the power 2", or "508 234 squared".
The square of 508 234 is 258 301 798 756 because 508 234 × 508 234 = 508 2342 = 258 301 798 756.
As a consequence, 508 234 is the square root of 258 301 798 756.
The multiples of 508 234 are all integers evenly divisible by 508 234, that is all numbers such that the remainder of the division by 508 234 is zero. There are infinitely many multiples of 508 234. The smallest multiples of 508 234 are: