It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 165 263 is not a prime number.
For example, 165 263 can be divided by 7: 165 263 / 7 = 23 609.
For 165 263 to be a prime number, it would have been required that 165 263 has only two divisors, i.e., itself and 1.
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165 263 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 165 263 is about 406.526.
Thus, the square root of 165 263 is not an integer, and therefore 165 263 is not a square number.
The square of a number (here 165 263) is the result of the product of this number (165 263) by itself (i.e., 165 263 × 165 263); the square of 165 263 is sometimes called "raising 165 263 to the power 2", or "165 263 squared".
The square of 165 263 is 27 311 859 169 because 165 263 × 165 263 = 165 2632 = 27 311 859 169.
As a consequence, 165 263 is the square root of 27 311 859 169.
The multiples of 165 263 are all integers evenly divisible by 165 263, that is all numbers such that the remainder of the division by 165 263 is zero. There are infinitely many multiples of 165 263. The smallest multiples of 165 263 are: