It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 125 563 is not a prime number.
For example, 125 563 can be divided by 307: 125 563 / 307 = 409.
For 125 563 to be a prime number, it would have been required that 125 563 has only two divisors, i.e., itself and 1.
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125 563 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 125 563 is about 354.349.
Thus, the square root of 125 563 is not an integer, and therefore 125 563 is not a square number.
The square of a number (here 125 563) is the result of the product of this number (125 563) by itself (i.e., 125 563 × 125 563); the square of 125 563 is sometimes called "raising 125 563 to the power 2", or "125 563 squared".
The square of 125 563 is 15 766 066 969 because 125 563 × 125 563 = 125 5632 = 15 766 066 969.
As a consequence, 125 563 is the square root of 15 766 066 969.
The multiples of 125 563 are all integers evenly divisible by 125 563, that is all numbers such that the remainder of the division by 125 563 is zero. There are infinitely many multiples of 125 563. The smallest multiples of 125 563 are: