It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 258 008 is not a prime number.
For example, 258 008 can be divided by 2: 258 008 / 2 = 129 004.
For 258 008 to be a prime number, it would have been required that 258 008 has only two divisors, i.e., itself and 1.
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258 008 is an even number, because it is evenly divisible by 2: 258 008 / 2 = 129 004.
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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 258 008 is about 507.945.
Thus, the square root of 258 008 is not an integer, and therefore 258 008 is not a square number.
The square of a number (here 258 008) is the result of the product of this number (258 008) by itself (i.e., 258 008 × 258 008); the square of 258 008 is sometimes called "raising 258 008 to the power 2", or "258 008 squared".
The square of 258 008 is 66 568 128 064 because 258 008 × 258 008 = 258 0082 = 66 568 128 064.
As a consequence, 258 008 is the square root of 66 568 128 064.
The multiples of 258 008 are all integers evenly divisible by 258 008, that is all numbers such that the remainder of the division by 258 008 is zero. There are infinitely many multiples of 258 008. The smallest multiples of 258 008 are: