It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 261 263 is not a prime number.
For example, 261 263 can be divided by 61: 261 263 / 61 = 4 283.
For 261 263 to be a prime number, it would have been required that 261 263 has only two divisors, i.e., itself and 1.
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261 263 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 261 263 is about 511.139.
Thus, the square root of 261 263 is not an integer, and therefore 261 263 is not a square number.
The square of a number (here 261 263) is the result of the product of this number (261 263) by itself (i.e., 261 263 × 261 263); the square of 261 263 is sometimes called "raising 261 263 to the power 2", or "261 263 squared".
The square of 261 263 is 68 258 355 169 because 261 263 × 261 263 = 261 2632 = 68 258 355 169.
As a consequence, 261 263 is the square root of 68 258 355 169.
The multiples of 261 263 are all integers evenly divisible by 261 263, that is all numbers such that the remainder of the division by 261 263 is zero. There are infinitely many multiples of 261 263. The smallest multiples of 261 263 are: