It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 766 008 is not a prime number.
For example, 766 008 can be divided by 2: 766 008 / 2 = 383 004.
For 766 008 to be a prime number, it would have been required that 766 008 has only two divisors, i.e., itself and 1.
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766 008 is an even number, because it is evenly divisible by 2: 766 008 / 2 = 383 004.
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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 766 008 is about 875.219.
Thus, the square root of 766 008 is not an integer, and therefore 766 008 is not a square number.
The square of a number (here 766 008) is the result of the product of this number (766 008) by itself (i.e., 766 008 × 766 008); the square of 766 008 is sometimes called "raising 766 008 to the power 2", or "766 008 squared".
The square of 766 008 is 586 768 256 064 because 766 008 × 766 008 = 766 0082 = 586 768 256 064.
As a consequence, 766 008 is the square root of 586 768 256 064.
The multiples of 766 008 are all integers evenly divisible by 766 008, that is all numbers such that the remainder of the division by 766 008 is zero. There are infinitely many multiples of 766 008. The smallest multiples of 766 008 are: