It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 508 378 is not a prime number.
For example, 508 378 can be divided by 2: 508 378 / 2 = 254 189.
For 508 378 to be a prime number, it would have been required that 508 378 has only two divisors, i.e., itself and 1.
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508 378 is an even number, because it is evenly divisible by 2: 508 378 / 2 = 254 189.
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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 508 378 is about 713.006.
Thus, the square root of 508 378 is not an integer, and therefore 508 378 is not a square number.
The square of a number (here 508 378) is the result of the product of this number (508 378) by itself (i.e., 508 378 × 508 378); the square of 508 378 is sometimes called "raising 508 378 to the power 2", or "508 378 squared".
The square of 508 378 is 258 448 190 884 because 508 378 × 508 378 = 508 3782 = 258 448 190 884.
As a consequence, 508 378 is the square root of 258 448 190 884.
The multiples of 508 378 are all integers evenly divisible by 508 378, that is all numbers such that the remainder of the division by 508 378 is zero. There are infinitely many multiples of 508 378. The smallest multiples of 508 378 are: