It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 138 038 is not a prime number.
For example, 138 038 can be divided by 2: 138 038 / 2 = 69 019.
For 138 038 to be a prime number, it would have been required that 138 038 has only two divisors, i.e., itself and 1.
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138 038 is an even number, because it is evenly divisible by 2: 138 038 / 2 = 69 019.
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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 138 038 is about 371.535.
Thus, the square root of 138 038 is not an integer, and therefore 138 038 is not a square number.
The square of a number (here 138 038) is the result of the product of this number (138 038) by itself (i.e., 138 038 × 138 038); the square of 138 038 is sometimes called "raising 138 038 to the power 2", or "138 038 squared".
The square of 138 038 is 19 054 489 444 because 138 038 × 138 038 = 138 0382 = 19 054 489 444.
As a consequence, 138 038 is the square root of 19 054 489 444.
The multiples of 138 038 are all integers evenly divisible by 138 038, that is all numbers such that the remainder of the division by 138 038 is zero. There are infinitely many multiples of 138 038. The smallest multiples of 138 038 are: