It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 267 289 is not a prime number.
For example, 267 289 can be divided by 11: 267 289 / 11 = 24 299.
For 267 289 to be a prime number, it would have been required that 267 289 has only two divisors, i.e., itself and 1.
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267 289 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 267 289 is 517.
Therefore, the square root of 267 289 is an integer, and as a consequence 267 289 is a perfect square.
The square of a number (here 267 289) is the result of the product of this number (267 289) by itself (i.e., 267 289 × 267 289); the square of 267 289 is sometimes called "raising 267 289 to the power 2", or "267 289 squared".
The square of 267 289 is 71 443 409 521 because 267 289 × 267 289 = 267 2892 = 71 443 409 521.
As a consequence, 267 289 is the square root of 71 443 409 521.
The multiples of 267 289 are all integers evenly divisible by 267 289, that is all numbers such that the remainder of the division by 267 289 is zero. There are infinitely many multiples of 267 289. The smallest multiples of 267 289 are: