It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 165 306 is not a prime number.
For example, 165 306 can be divided by 2: 165 306 / 2 = 82 653.
For 165 306 to be a prime number, it would have been required that 165 306 has only two divisors, i.e., itself and 1.
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165 306 is an even number, because it is evenly divisible by 2: 165 306 / 2 = 82 653.
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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 165 306 is about 406.578.
Thus, the square root of 165 306 is not an integer, and therefore 165 306 is not a square number.
The square of a number (here 165 306) is the result of the product of this number (165 306) by itself (i.e., 165 306 × 165 306); the square of 165 306 is sometimes called "raising 165 306 to the power 2", or "165 306 squared".
The square of 165 306 is 27 326 073 636 because 165 306 × 165 306 = 165 3062 = 27 326 073 636.
As a consequence, 165 306 is the square root of 27 326 073 636.
The multiples of 165 306 are all integers evenly divisible by 165 306, that is all numbers such that the remainder of the division by 165 306 is zero. There are infinitely many multiples of 165 306. The smallest multiples of 165 306 are: