It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 248 289 is not a prime number.
For example, 248 289 can be divided by 3: 248 289 / 3 = 82 763.
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For 248 289 to be a prime number, it would have been required that 248 289 has only two divisors, i.e., itself and 1.
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248 289 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 248 289 is about 498.286.
Thus, the square root of 248 289 is not an integer, and therefore 248 289 is not a square number.
The square of a number (here 248 289) is the result of the product of this number (248 289) by itself (i.e., 248 289 × 248 289); the square of 248 289 is sometimes called "raising 248 289 to the power 2", or "248 289 squared".
The square of 248 289 is 61 647 427 521 because 248 289 × 248 289 = 248 2892 = 61 647 427 521.
As a consequence, 248 289 is the square root of 61 647 427 521.
The multiples of 248 289 are all integers evenly divisible by 248 289, that is all numbers such that the remainder of the division by 248 289 is zero. There are infinitely many multiples of 248 289. The smallest multiples of 248 289 are: