It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 50 563 is not a prime number.
For example, 50 563 can be divided by 59: 50 563 / 59 = 857.
For 50 563 to be a prime number, it would have been required that 50 563 has only two divisors, i.e., itself and 1.
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50 563 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 50 563 is about 224.862.
Thus, the square root of 50 563 is not an integer, and therefore 50 563 is not a square number.
The square of a number (here 50 563) is the result of the product of this number (50 563) by itself (i.e., 50 563 × 50 563); the square of 50 563 is sometimes called "raising 50 563 to the power 2", or "50 563 squared".
The square of 50 563 is 2 556 616 969 because 50 563 × 50 563 = 50 5632 = 2 556 616 969.
As a consequence, 50 563 is the square root of 2 556 616 969.
The multiples of 50 563 are all integers evenly divisible by 50 563, that is all numbers such that the remainder of the division by 50 563 is zero. There are infinitely many multiples of 50 563. The smallest multiples of 50 563 are: