It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 165 259 is not a prime number.
For example, 165 259 can be divided by 59: 165 259 / 59 = 2 801.
For 165 259 to be a prime number, it would have been required that 165 259 has only two divisors, i.e., itself and 1.
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165 259 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 165 259 is about 406.521.
Thus, the square root of 165 259 is not an integer, and therefore 165 259 is not a square number.
The square of a number (here 165 259) is the result of the product of this number (165 259) by itself (i.e., 165 259 × 165 259); the square of 165 259 is sometimes called "raising 165 259 to the power 2", or "165 259 squared".
The square of 165 259 is 27 310 537 081 because 165 259 × 165 259 = 165 2592 = 27 310 537 081.
As a consequence, 165 259 is the square root of 27 310 537 081.
The multiples of 165 259 are all integers evenly divisible by 165 259, that is all numbers such that the remainder of the division by 165 259 is zero. There are infinitely many multiples of 165 259. The smallest multiples of 165 259 are: