It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 463 263 is not a prime number.
For example, 463 263 can be divided by 3: 463 263 / 3 = 154 421.
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For 463 263 to be a prime number, it would have been required that 463 263 has only two divisors, i.e., itself and 1.
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463 263 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 463 263 is about 680.634.
Thus, the square root of 463 263 is not an integer, and therefore 463 263 is not a square number.
The square of a number (here 463 263) is the result of the product of this number (463 263) by itself (i.e., 463 263 × 463 263); the square of 463 263 is sometimes called "raising 463 263 to the power 2", or "463 263 squared".
The square of 463 263 is 214 612 607 169 because 463 263 × 463 263 = 463 2632 = 214 612 607 169.
As a consequence, 463 263 is the square root of 214 612 607 169.
The multiples of 463 263 are all integers evenly divisible by 463 263, that is all numbers such that the remainder of the division by 463 263 is zero. There are infinitely many multiples of 463 263. The smallest multiples of 463 263 are: