It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 113 301 is not a prime number.
For example, 113 301 can be divided by 3: 113 301 / 3 = 37 767.
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For 113 301 to be a prime number, it would have been required that 113 301 has only two divisors, i.e., itself and 1.
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113 301 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 113 301 is about 336.602.
Thus, the square root of 113 301 is not an integer, and therefore 113 301 is not a square number.
The square of a number (here 113 301) is the result of the product of this number (113 301) by itself (i.e., 113 301 × 113 301); the square of 113 301 is sometimes called "raising 113 301 to the power 2", or "113 301 squared".
The square of 113 301 is 12 837 116 601 because 113 301 × 113 301 = 113 3012 = 12 837 116 601.
As a consequence, 113 301 is the square root of 12 837 116 601.
The multiples of 113 301 are all integers evenly divisible by 113 301, that is all numbers such that the remainder of the division by 113 301 is zero. There are infinitely many multiples of 113 301. The smallest multiples of 113 301 are: