It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 125 166 is not a prime number.
For example, 125 166 can be divided by 2: 125 166 / 2 = 62 583.
For 125 166 to be a prime number, it would have been required that 125 166 has only two divisors, i.e., itself and 1.
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125 166 is an even number, because it is evenly divisible by 2: 125 166 / 2 = 62 583.
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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 125 166 is about 353.788.
Thus, the square root of 125 166 is not an integer, and therefore 125 166 is not a square number.
The square of a number (here 125 166) is the result of the product of this number (125 166) by itself (i.e., 125 166 × 125 166); the square of 125 166 is sometimes called "raising 125 166 to the power 2", or "125 166 squared".
The square of 125 166 is 15 666 527 556 because 125 166 × 125 166 = 125 1662 = 15 666 527 556.
As a consequence, 125 166 is the square root of 15 666 527 556.
The multiples of 125 166 are all integers evenly divisible by 125 166, that is all numbers such that the remainder of the division by 125 166 is zero. There are infinitely many multiples of 125 166. The smallest multiples of 125 166 are: