It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 493 263 is not a prime number.
For example, 493 263 can be divided by 3: 493 263 / 3 = 164 421.
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For 493 263 to be a prime number, it would have been required that 493 263 has only two divisors, i.e., itself and 1.
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493 263 is an odd number, because it is not evenly divisible by 2.
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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 493 263 is about 702.327.
Thus, the square root of 493 263 is not an integer, and therefore 493 263 is not a square number.
The square of a number (here 493 263) is the result of the product of this number (493 263) by itself (i.e., 493 263 × 493 263); the square of 493 263 is sometimes called "raising 493 263 to the power 2", or "493 263 squared".
The square of 493 263 is 243 308 387 169 because 493 263 × 493 263 = 493 2632 = 243 308 387 169.
As a consequence, 493 263 is the square root of 243 308 387 169.
The multiples of 493 263 are all integers evenly divisible by 493 263, that is all numbers such that the remainder of the division by 493 263 is zero. There are infinitely many multiples of 493 263. The smallest multiples of 493 263 are: