It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 165 189 is not a prime number.
For example, 165 189 can be divided by 3: 165 189 / 3 = 55 063.
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For 165 189 to be a prime number, it would have been required that 165 189 has only two divisors, i.e., itself and 1.
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165 189 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 165 189 is about 406.434.
Thus, the square root of 165 189 is not an integer, and therefore 165 189 is not a square number.
The square of a number (here 165 189) is the result of the product of this number (165 189) by itself (i.e., 165 189 × 165 189); the square of 165 189 is sometimes called "raising 165 189 to the power 2", or "165 189 squared".
The square of 165 189 is 27 287 405 721 because 165 189 × 165 189 = 165 1892 = 27 287 405 721.
As a consequence, 165 189 is the square root of 27 287 405 721.
The multiples of 165 189 are all integers evenly divisible by 165 189, that is all numbers such that the remainder of the division by 165 189 is zero. There are infinitely many multiples of 165 189. The smallest multiples of 165 189 are: