It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 38 012 is not a prime number.
For example, 38 012 can be divided by 2: 38 012 / 2 = 19 006.
For 38 012 to be a prime number, it would have been required that 38 012 has only two divisors, i.e., itself and 1.
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38 012 is an even number, because it is evenly divisible by 2: 38 012 / 2 = 19 006.
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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 38 012 is about 194.967.
Thus, the square root of 38 012 is not an integer, and therefore 38 012 is not a square number.
The square of a number (here 38 012) is the result of the product of this number (38 012) by itself (i.e., 38 012 × 38 012); the square of 38 012 is sometimes called "raising 38 012 to the power 2", or "38 012 squared".
The square of 38 012 is 1 444 912 144 because 38 012 × 38 012 = 38 0122 = 1 444 912 144.
As a consequence, 38 012 is the square root of 1 444 912 144.
The multiples of 38 012 are all integers evenly divisible by 38 012, that is all numbers such that the remainder of the division by 38 012 is zero. There are infinitely many multiples of 38 012. The smallest multiples of 38 012 are: