It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 27 289 is not a prime number.
For example, 27 289 can be divided by 29: 27 289 / 29 = 941.
For 27 289 to be a prime number, it would have been required that 27 289 has only two divisors, i.e., itself and 1.
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27 289 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 27 289 is about 165.194.
Thus, the square root of 27 289 is not an integer, and therefore 27 289 is not a square number.
The square of a number (here 27 289) is the result of the product of this number (27 289) by itself (i.e., 27 289 × 27 289); the square of 27 289 is sometimes called "raising 27 289 to the power 2", or "27 289 squared".
The square of 27 289 is 744 689 521 because 27 289 × 27 289 = 27 2892 = 744 689 521.
As a consequence, 27 289 is the square root of 744 689 521.
The multiples of 27 289 are all integers evenly divisible by 27 289, that is all numbers such that the remainder of the division by 27 289 is zero. There are infinitely many multiples of 27 289. The smallest multiples of 27 289 are: