It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 330 008 is not a prime number.
For example, 330 008 can be divided by 2: 330 008 / 2 = 165 004.
For 330 008 to be a prime number, it would have been required that 330 008 has only two divisors, i.e., itself and 1.
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330 008 is an even number, because it is evenly divisible by 2: 330 008 / 2 = 165 004.
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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 330 008 is about 574.463.
Thus, the square root of 330 008 is not an integer, and therefore 330 008 is not a square number.
The square of a number (here 330 008) is the result of the product of this number (330 008) by itself (i.e., 330 008 × 330 008); the square of 330 008 is sometimes called "raising 330 008 to the power 2", or "330 008 squared".
The square of 330 008 is 108 905 280 064 because 330 008 × 330 008 = 330 0082 = 108 905 280 064.
As a consequence, 330 008 is the square root of 108 905 280 064.
The multiples of 330 008 are all integers evenly divisible by 330 008, that is all numbers such that the remainder of the division by 330 008 is zero. There are infinitely many multiples of 330 008. The smallest multiples of 330 008 are: