It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 38 008 is not a prime number.
For example, 38 008 can be divided by 2: 38 008 / 2 = 19 004.
For 38 008 to be a prime number, it would have been required that 38 008 has only two divisors, i.e., itself and 1.
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38 008 is an even number, because it is evenly divisible by 2: 38 008 / 2 = 19 004.
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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 38 008 is about 194.956.
Thus, the square root of 38 008 is not an integer, and therefore 38 008 is not a square number.
The square of a number (here 38 008) is the result of the product of this number (38 008) by itself (i.e., 38 008 × 38 008); the square of 38 008 is sometimes called "raising 38 008 to the power 2", or "38 008 squared".
The square of 38 008 is 1 444 608 064 because 38 008 × 38 008 = 38 0082 = 1 444 608 064.
As a consequence, 38 008 is the square root of 1 444 608 064.
The multiples of 38 008 are all integers evenly divisible by 38 008, that is all numbers such that the remainder of the division by 38 008 is zero. There are infinitely many multiples of 38 008. The smallest multiples of 38 008 are: