It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 38 602 is not a prime number.
For example, 38 602 can be divided by 2: 38 602 / 2 = 19 301.
For 38 602 to be a prime number, it would have been required that 38 602 has only two divisors, i.e., itself and 1.
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38 602 is an even number, because it is evenly divisible by 2: 38 602 / 2 = 19 301.
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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 38 602 is about 196.474.
Thus, the square root of 38 602 is not an integer, and therefore 38 602 is not a square number.
The square of a number (here 38 602) is the result of the product of this number (38 602) by itself (i.e., 38 602 × 38 602); the square of 38 602 is sometimes called "raising 38 602 to the power 2", or "38 602 squared".
The square of 38 602 is 1 490 114 404 because 38 602 × 38 602 = 38 6022 = 1 490 114 404.
As a consequence, 38 602 is the square root of 1 490 114 404.
The multiples of 38 602 are all integers evenly divisible by 38 602, that is all numbers such that the remainder of the division by 38 602 is zero. There are infinitely many multiples of 38 602. The smallest multiples of 38 602 are: