It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 505 308 is not a prime number.
For example, 505 308 can be divided by 2: 505 308 / 2 = 252 654.
For 505 308 to be a prime number, it would have been required that 505 308 has only two divisors, i.e., itself and 1.
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505 308 is an even number, because it is evenly divisible by 2: 505 308 / 2 = 252 654.
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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 505 308 is about 710.850.
Thus, the square root of 505 308 is not an integer, and therefore 505 308 is not a square number.
The square of a number (here 505 308) is the result of the product of this number (505 308) by itself (i.e., 505 308 × 505 308); the square of 505 308 is sometimes called "raising 505 308 to the power 2", or "505 308 squared".
The square of 505 308 is 255 336 174 864 because 505 308 × 505 308 = 505 3082 = 255 336 174 864.
As a consequence, 505 308 is the square root of 255 336 174 864.
The multiples of 505 308 are all integers evenly divisible by 505 308, that is all numbers such that the remainder of the division by 505 308 is zero. There are infinitely many multiples of 505 308. The smallest multiples of 505 308 are: