It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 38 708 is not a prime number.
For example, 38 708 can be divided by 2: 38 708 / 2 = 19 354.
For 38 708 to be a prime number, it would have been required that 38 708 has only two divisors, i.e., itself and 1.
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38 708 is an even number, because it is evenly divisible by 2: 38 708 / 2 = 19 354.
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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 38 708 is about 196.743.
Thus, the square root of 38 708 is not an integer, and therefore 38 708 is not a square number.
The square of a number (here 38 708) is the result of the product of this number (38 708) by itself (i.e., 38 708 × 38 708); the square of 38 708 is sometimes called "raising 38 708 to the power 2", or "38 708 squared".
The square of 38 708 is 1 498 309 264 because 38 708 × 38 708 = 38 7082 = 1 498 309 264.
As a consequence, 38 708 is the square root of 1 498 309 264.
The multiples of 38 708 are all integers evenly divisible by 38 708, that is all numbers such that the remainder of the division by 38 708 is zero. There are infinitely many multiples of 38 708. The smallest multiples of 38 708 are: