It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 263 441 is not a prime number.
For example, 263 441 can be divided by 131: 263 441 / 131 = 2 011.
For 263 441 to be a prime number, it would have been required that 263 441 has only two divisors, i.e., itself and 1.
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263 441 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 263 441 is about 513.265.
Thus, the square root of 263 441 is not an integer, and therefore 263 441 is not a square number.
The square of a number (here 263 441) is the result of the product of this number (263 441) by itself (i.e., 263 441 × 263 441); the square of 263 441 is sometimes called "raising 263 441 to the power 2", or "263 441 squared".
The square of 263 441 is 69 401 160 481 because 263 441 × 263 441 = 263 4412 = 69 401 160 481.
As a consequence, 263 441 is the square root of 69 401 160 481.
The multiples of 263 441 are all integers evenly divisible by 263 441, that is all numbers such that the remainder of the division by 263 441 is zero. There are infinitely many multiples of 263 441. The smallest multiples of 263 441 are: