It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 488 312 is not a prime number.
For example, 488 312 can be divided by 2: 488 312 / 2 = 244 156.
For 488 312 to be a prime number, it would have been required that 488 312 has only two divisors, i.e., itself and 1.
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488 312 is an even number, because it is evenly divisible by 2: 488 312 / 2 = 244 156.
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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 488 312 is about 698.793.
Thus, the square root of 488 312 is not an integer, and therefore 488 312 is not a square number.
The square of a number (here 488 312) is the result of the product of this number (488 312) by itself (i.e., 488 312 × 488 312); the square of 488 312 is sometimes called "raising 488 312 to the power 2", or "488 312 squared".
The square of 488 312 is 238 448 609 344 because 488 312 × 488 312 = 488 3122 = 238 448 609 344.
As a consequence, 488 312 is the square root of 238 448 609 344.
The multiples of 488 312 are all integers evenly divisible by 488 312, that is all numbers such that the remainder of the division by 488 312 is zero. There are infinitely many multiples of 488 312. The smallest multiples of 488 312 are: