It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 75 008 is not a prime number.
For example, 75 008 can be divided by 2: 75 008 / 2 = 37 504.
For 75 008 to be a prime number, it would have been required that 75 008 has only two divisors, i.e., itself and 1.
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75 008 is an even number, because it is evenly divisible by 2: 75 008 / 2 = 37 504.
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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 75 008 is about 273.876.
Thus, the square root of 75 008 is not an integer, and therefore 75 008 is not a square number.
The square of a number (here 75 008) is the result of the product of this number (75 008) by itself (i.e., 75 008 × 75 008); the square of 75 008 is sometimes called "raising 75 008 to the power 2", or "75 008 squared".
The square of 75 008 is 5 626 200 064 because 75 008 × 75 008 = 75 0082 = 5 626 200 064.
As a consequence, 75 008 is the square root of 5 626 200 064.
The multiples of 75 008 are all integers evenly divisible by 75 008, that is all numbers such that the remainder of the division by 75 008 is zero. There are infinitely many multiples of 75 008. The smallest multiples of 75 008 are: