It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 165 113 is not a prime number.
For example, 165 113 can be divided by 13: 165 113 / 13 = 12 701.
For 165 113 to be a prime number, it would have been required that 165 113 has only two divisors, i.e., itself and 1.
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165 113 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 165 113 is about 406.341.
Thus, the square root of 165 113 is not an integer, and therefore 165 113 is not a square number.
The square of a number (here 165 113) is the result of the product of this number (165 113) by itself (i.e., 165 113 × 165 113); the square of 165 113 is sometimes called "raising 165 113 to the power 2", or "165 113 squared".
The square of 165 113 is 27 262 302 769 because 165 113 × 165 113 = 165 1132 = 27 262 302 769.
As a consequence, 165 113 is the square root of 27 262 302 769.
The multiples of 165 113 are all integers evenly divisible by 165 113, that is all numbers such that the remainder of the division by 165 113 is zero. There are infinitely many multiples of 165 113. The smallest multiples of 165 113 are: