It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 113 138 is not a prime number.
For example, 113 138 can be divided by 2: 113 138 / 2 = 56 569.
For 113 138 to be a prime number, it would have been required that 113 138 has only two divisors, i.e., itself and 1.
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113 138 is an even number, because it is evenly divisible by 2: 113 138 / 2 = 56 569.
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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 113 138 is about 336.360.
Thus, the square root of 113 138 is not an integer, and therefore 113 138 is not a square number.
The square of a number (here 113 138) is the result of the product of this number (113 138) by itself (i.e., 113 138 × 113 138); the square of 113 138 is sometimes called "raising 113 138 to the power 2", or "113 138 squared".
The square of 113 138 is 12 800 207 044 because 113 138 × 113 138 = 113 1382 = 12 800 207 044.
As a consequence, 113 138 is the square root of 12 800 207 044.
The multiples of 113 138 are all integers evenly divisible by 113 138, that is all numbers such that the remainder of the division by 113 138 is zero. There are infinitely many multiples of 113 138. The smallest multiples of 113 138 are: