It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 250 258 is not a prime number.
For example, 250 258 can be divided by 2: 250 258 / 2 = 125 129.
For 250 258 to be a prime number, it would have been required that 250 258 has only two divisors, i.e., itself and 1.
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250 258 is an even number, because it is evenly divisible by 2: 250 258 / 2 = 125 129.
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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 250 258 is about 500.258.
Thus, the square root of 250 258 is not an integer, and therefore 250 258 is not a square number.
The square of a number (here 250 258) is the result of the product of this number (250 258) by itself (i.e., 250 258 × 250 258); the square of 250 258 is sometimes called "raising 250 258 to the power 2", or "250 258 squared".
The square of 250 258 is 62 629 066 564 because 250 258 × 250 258 = 250 2582 = 62 629 066 564.
As a consequence, 250 258 is the square root of 62 629 066 564.
The multiples of 250 258 are all integers evenly divisible by 250 258, that is all numbers such that the remainder of the division by 250 258 is zero. There are infinitely many multiples of 250 258. The smallest multiples of 250 258 are: