It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 688 708 is not a prime number.
For example, 688 708 can be divided by 2: 688 708 / 2 = 344 354.
For 688 708 to be a prime number, it would have been required that 688 708 has only two divisors, i.e., itself and 1.
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688 708 is an even number, because it is evenly divisible by 2: 688 708 / 2 = 344 354.
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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 688 708 is about 829.884.
Thus, the square root of 688 708 is not an integer, and therefore 688 708 is not a square number.
The square of a number (here 688 708) is the result of the product of this number (688 708) by itself (i.e., 688 708 × 688 708); the square of 688 708 is sometimes called "raising 688 708 to the power 2", or "688 708 squared".
The square of 688 708 is 474 318 709 264 because 688 708 × 688 708 = 688 7082 = 474 318 709 264.
As a consequence, 688 708 is the square root of 474 318 709 264.
The multiples of 688 708 are all integers evenly divisible by 688 708, that is all numbers such that the remainder of the division by 688 708 is zero. There are infinitely many multiples of 688 708. The smallest multiples of 688 708 are: