It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 113 201 is not a prime number.
For example, 113 201 can be divided by 11: 113 201 / 11 = 10 291.
For 113 201 to be a prime number, it would have been required that 113 201 has only two divisors, i.e., itself and 1.
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113 201 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 113 201 is about 336.454.
Thus, the square root of 113 201 is not an integer, and therefore 113 201 is not a square number.
The square of a number (here 113 201) is the result of the product of this number (113 201) by itself (i.e., 113 201 × 113 201); the square of 113 201 is sometimes called "raising 113 201 to the power 2", or "113 201 squared".
The square of 113 201 is 12 814 466 401 because 113 201 × 113 201 = 113 2012 = 12 814 466 401.
As a consequence, 113 201 is the square root of 12 814 466 401.
The multiples of 113 201 are all integers evenly divisible by 113 201, that is all numbers such that the remainder of the division by 113 201 is zero. There are infinitely many multiples of 113 201. The smallest multiples of 113 201 are: