It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 509 808 is not a prime number.
For example, 509 808 can be divided by 2: 509 808 / 2 = 254 904.
For 509 808 to be a prime number, it would have been required that 509 808 has only two divisors, i.e., itself and 1.
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509 808 is an even number, because it is evenly divisible by 2: 509 808 / 2 = 254 904.
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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 509 808 is about 714.008.
Thus, the square root of 509 808 is not an integer, and therefore 509 808 is not a square number.
The square of a number (here 509 808) is the result of the product of this number (509 808) by itself (i.e., 509 808 × 509 808); the square of 509 808 is sometimes called "raising 509 808 to the power 2", or "509 808 squared".
The square of 509 808 is 259 904 196 864 because 509 808 × 509 808 = 509 8082 = 259 904 196 864.
As a consequence, 509 808 is the square root of 259 904 196 864.
The multiples of 509 808 are all integers evenly divisible by 509 808, that is all numbers such that the remainder of the division by 509 808 is zero. There are infinitely many multiples of 509 808. The smallest multiples of 509 808 are: