It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 493 312 is not a prime number.
For example, 493 312 can be divided by 2: 493 312 / 2 = 246 656.
For 493 312 to be a prime number, it would have been required that 493 312 has only two divisors, i.e., itself and 1.
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493 312 is an even number, because it is evenly divisible by 2: 493 312 / 2 = 246 656.
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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 493 312 is about 702.362.
Thus, the square root of 493 312 is not an integer, and therefore 493 312 is not a square number.
The square of a number (here 493 312) is the result of the product of this number (493 312) by itself (i.e., 493 312 × 493 312); the square of 493 312 is sometimes called "raising 493 312 to the power 2", or "493 312 squared".
The square of 493 312 is 243 356 729 344 because 493 312 × 493 312 = 493 3122 = 243 356 729 344.
As a consequence, 493 312 is the square root of 243 356 729 344.
The multiples of 493 312 are all integers evenly divisible by 493 312, that is all numbers such that the remainder of the division by 493 312 is zero. There are infinitely many multiples of 493 312. The smallest multiples of 493 312 are: