It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 165 353 is not a prime number.
For example, 165 353 can be divided by 37: 165 353 / 37 = 4 469.
For 165 353 to be a prime number, it would have been required that 165 353 has only two divisors, i.e., itself and 1.
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165 353 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 165 353 is about 406.636.
Thus, the square root of 165 353 is not an integer, and therefore 165 353 is not a square number.
The square of a number (here 165 353) is the result of the product of this number (165 353) by itself (i.e., 165 353 × 165 353); the square of 165 353 is sometimes called "raising 165 353 to the power 2", or "165 353 squared".
The square of 165 353 is 27 341 614 609 because 165 353 × 165 353 = 165 3532 = 27 341 614 609.
As a consequence, 165 353 is the square root of 27 341 614 609.
The multiples of 165 353 are all integers evenly divisible by 165 353, that is all numbers such that the remainder of the division by 165 353 is zero. There are infinitely many multiples of 165 353. The smallest multiples of 165 353 are: