It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 165 312 is not a prime number.
For example, 165 312 can be divided by 2: 165 312 / 2 = 82 656.
For 165 312 to be a prime number, it would have been required that 165 312 has only two divisors, i.e., itself and 1.
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165 312 is an even number, because it is evenly divisible by 2: 165 312 / 2 = 82 656.
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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 165 312 is about 406.586.
Thus, the square root of 165 312 is not an integer, and therefore 165 312 is not a square number.
The square of a number (here 165 312) is the result of the product of this number (165 312) by itself (i.e., 165 312 × 165 312); the square of 165 312 is sometimes called "raising 165 312 to the power 2", or "165 312 squared".
The square of 165 312 is 27 328 057 344 because 165 312 × 165 312 = 165 3122 = 27 328 057 344.
As a consequence, 165 312 is the square root of 27 328 057 344.
The multiples of 165 312 are all integers evenly divisible by 165 312, that is all numbers such that the remainder of the division by 165 312 is zero. There are infinitely many multiples of 165 312. The smallest multiples of 165 312 are: