It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 125 501 is not a prime number.
For example, 125 501 can be divided by 41: 125 501 / 41 = 3 061.
For 125 501 to be a prime number, it would have been required that 125 501 has only two divisors, i.e., itself and 1.
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125 501 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 125 501 is about 354.261.
Thus, the square root of 125 501 is not an integer, and therefore 125 501 is not a square number.
The square of a number (here 125 501) is the result of the product of this number (125 501) by itself (i.e., 125 501 × 125 501); the square of 125 501 is sometimes called "raising 125 501 to the power 2", or "125 501 squared".
The square of 125 501 is 15 750 501 001 because 125 501 × 125 501 = 125 5012 = 15 750 501 001.
As a consequence, 125 501 is the square root of 15 750 501 001.
The multiples of 125 501 are all integers evenly divisible by 125 501, that is all numbers such that the remainder of the division by 125 501 is zero. There are infinitely many multiples of 125 501. The smallest multiples of 125 501 are: