It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 125 013 is not a prime number.
For example, 125 013 can be divided by 3: 125 013 / 3 = 41 671.
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For 125 013 to be a prime number, it would have been required that 125 013 has only two divisors, i.e., itself and 1.
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125 013 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 125 013 is about 353.572.
Thus, the square root of 125 013 is not an integer, and therefore 125 013 is not a square number.
The square of a number (here 125 013) is the result of the product of this number (125 013) by itself (i.e., 125 013 × 125 013); the square of 125 013 is sometimes called "raising 125 013 to the power 2", or "125 013 squared".
The square of 125 013 is 15 628 250 169 because 125 013 × 125 013 = 125 0132 = 15 628 250 169.
As a consequence, 125 013 is the square root of 15 628 250 169.
The multiples of 125 013 are all integers evenly divisible by 125 013, that is all numbers such that the remainder of the division by 125 013 is zero. There are infinitely many multiples of 125 013. The smallest multiples of 125 013 are: