It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 488 968 is not a prime number.
For example, 488 968 can be divided by 2: 488 968 / 2 = 244 484.
For 488 968 to be a prime number, it would have been required that 488 968 has only two divisors, i.e., itself and 1.
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488 968 is an even number, because it is evenly divisible by 2: 488 968 / 2 = 244 484.
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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 488 968 is about 699.262.
Thus, the square root of 488 968 is not an integer, and therefore 488 968 is not a square number.
The square of a number (here 488 968) is the result of the product of this number (488 968) by itself (i.e., 488 968 × 488 968); the square of 488 968 is sometimes called "raising 488 968 to the power 2", or "488 968 squared".
The square of 488 968 is 239 089 705 024 because 488 968 × 488 968 = 488 9682 = 239 089 705 024.
As a consequence, 488 968 is the square root of 239 089 705 024.
The multiples of 488 968 are all integers evenly divisible by 488 968, that is all numbers such that the remainder of the division by 488 968 is zero. There are infinitely many multiples of 488 968. The smallest multiples of 488 968 are: