It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 125 102 is not a prime number.
For example, 125 102 can be divided by 2: 125 102 / 2 = 62 551.
For 125 102 to be a prime number, it would have been required that 125 102 has only two divisors, i.e., itself and 1.
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125 102 is an even number, because it is evenly divisible by 2: 125 102 / 2 = 62 551.
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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 125 102 is about 353.698.
Thus, the square root of 125 102 is not an integer, and therefore 125 102 is not a square number.
The square of a number (here 125 102) is the result of the product of this number (125 102) by itself (i.e., 125 102 × 125 102); the square of 125 102 is sometimes called "raising 125 102 to the power 2", or "125 102 squared".
The square of 125 102 is 15 650 510 404 because 125 102 × 125 102 = 125 1022 = 15 650 510 404.
As a consequence, 125 102 is the square root of 15 650 510 404.
The multiples of 125 102 are all integers evenly divisible by 125 102, that is all numbers such that the remainder of the division by 125 102 is zero. There are infinitely many multiples of 125 102. The smallest multiples of 125 102 are: