It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 263 261 is not a prime number.
For example, 263 261 can be divided by 41: 263 261 / 41 = 6 421.
For 263 261 to be a prime number, it would have been required that 263 261 has only two divisors, i.e., itself and 1.
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263 261 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 263 261 is about 513.090.
Thus, the square root of 263 261 is not an integer, and therefore 263 261 is not a square number.
The square of a number (here 263 261) is the result of the product of this number (263 261) by itself (i.e., 263 261 × 263 261); the square of 263 261 is sometimes called "raising 263 261 to the power 2", or "263 261 squared".
The square of 263 261 is 69 306 354 121 because 263 261 × 263 261 = 263 2612 = 69 306 354 121.
As a consequence, 263 261 is the square root of 69 306 354 121.
The multiples of 263 261 are all integers evenly divisible by 263 261, that is all numbers such that the remainder of the division by 263 261 is zero. There are infinitely many multiples of 263 261. The smallest multiples of 263 261 are: