It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 113 121 is not a prime number.
For example, 113 121 can be divided by 3: 113 121 / 3 = 37 707.
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For 113 121 to be a prime number, it would have been required that 113 121 has only two divisors, i.e., itself and 1.
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113 121 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 113 121 is about 336.335.
Thus, the square root of 113 121 is not an integer, and therefore 113 121 is not a square number.
The square of a number (here 113 121) is the result of the product of this number (113 121) by itself (i.e., 113 121 × 113 121); the square of 113 121 is sometimes called "raising 113 121 to the power 2", or "113 121 squared".
The square of 113 121 is 12 796 360 641 because 113 121 × 113 121 = 113 1212 = 12 796 360 641.
As a consequence, 113 121 is the square root of 12 796 360 641.
The multiples of 113 121 are all integers evenly divisible by 113 121, that is all numbers such that the remainder of the division by 113 121 is zero. There are infinitely many multiples of 113 121. The smallest multiples of 113 121 are: