It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 138 078 is not a prime number.
For example, 138 078 can be divided by 2: 138 078 / 2 = 69 039.
For 138 078 to be a prime number, it would have been required that 138 078 has only two divisors, i.e., itself and 1.
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138 078 is an even number, because it is evenly divisible by 2: 138 078 / 2 = 69 039.
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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 138 078 is about 371.588.
Thus, the square root of 138 078 is not an integer, and therefore 138 078 is not a square number.
The square of a number (here 138 078) is the result of the product of this number (138 078) by itself (i.e., 138 078 × 138 078); the square of 138 078 is sometimes called "raising 138 078 to the power 2", or "138 078 squared".
The square of 138 078 is 19 065 534 084 because 138 078 × 138 078 = 138 0782 = 19 065 534 084.
As a consequence, 138 078 is the square root of 19 065 534 084.
The multiples of 138 078 are all integers evenly divisible by 138 078, that is all numbers such that the remainder of the division by 138 078 is zero. There are infinitely many multiples of 138 078. The smallest multiples of 138 078 are: