It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 125 564 is not a prime number.
For example, 125 564 can be divided by 2: 125 564 / 2 = 62 782.
For 125 564 to be a prime number, it would have been required that 125 564 has only two divisors, i.e., itself and 1.
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125 564 is an even number, because it is evenly divisible by 2: 125 564 / 2 = 62 782.
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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 125 564 is about 354.350.
Thus, the square root of 125 564 is not an integer, and therefore 125 564 is not a square number.
The square of a number (here 125 564) is the result of the product of this number (125 564) by itself (i.e., 125 564 × 125 564); the square of 125 564 is sometimes called "raising 125 564 to the power 2", or "125 564 squared".
The square of 125 564 is 15 766 318 096 because 125 564 × 125 564 = 125 5642 = 15 766 318 096.
As a consequence, 125 564 is the square root of 15 766 318 096.
The multiples of 125 564 are all integers evenly divisible by 125 564, that is all numbers such that the remainder of the division by 125 564 is zero. There are infinitely many multiples of 125 564. The smallest multiples of 125 564 are: