It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 268 008 is not a prime number.
For example, 268 008 can be divided by 2: 268 008 / 2 = 134 004.
For 268 008 to be a prime number, it would have been required that 268 008 has only two divisors, i.e., itself and 1.
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268 008 is an even number, because it is evenly divisible by 2: 268 008 / 2 = 134 004.
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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 268 008 is about 517.695.
Thus, the square root of 268 008 is not an integer, and therefore 268 008 is not a square number.
The square of a number (here 268 008) is the result of the product of this number (268 008) by itself (i.e., 268 008 × 268 008); the square of 268 008 is sometimes called "raising 268 008 to the power 2", or "268 008 squared".
The square of 268 008 is 71 828 288 064 because 268 008 × 268 008 = 268 0082 = 71 828 288 064.
As a consequence, 268 008 is the square root of 71 828 288 064.
The multiples of 268 008 are all integers evenly divisible by 268 008, that is all numbers such that the remainder of the division by 268 008 is zero. There are infinitely many multiples of 268 008. The smallest multiples of 268 008 are: