It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 1 000 263 is not a prime number.
For example, 1 000 263 can be divided by 3: 1 000 263 / 3 = 333 421.
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For 1 000 263 to be a prime number, it would have been required that 1 000 263 has only two divisors, i.e., itself and 1.
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1 000 263 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 1 000 263 is about 1 000.131.
Thus, the square root of 1 000 263 is not an integer, and therefore 1 000 263 is not a square number.
The square of a number (here 1 000 263) is the result of the product of this number (1 000 263) by itself (i.e., 1 000 263 × 1 000 263); the square of 1 000 263 is sometimes called "raising 1 000 263 to the power 2", or "1 000 263 squared".
The square of 1 000 263 is 1 000 526 069 169 because 1 000 263 × 1 000 263 = 1 000 2632 = 1 000 526 069 169.
As a consequence, 1 000 263 is the square root of 1 000 526 069 169.
The multiples of 1 000 263 are all integers evenly divisible by 1 000 263, that is all numbers such that the remainder of the division by 1 000 263 is zero. There are infinitely many multiples of 1 000 263. The smallest multiples of 1 000 263 are: