It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 138 178 is not a prime number.
For example, 138 178 can be divided by 2: 138 178 / 2 = 69 089.
For 138 178 to be a prime number, it would have been required that 138 178 has only two divisors, i.e., itself and 1.
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138 178 is an even number, because it is evenly divisible by 2: 138 178 / 2 = 69 089.
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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 138 178 is about 371.723.
Thus, the square root of 138 178 is not an integer, and therefore 138 178 is not a square number.
The square of a number (here 138 178) is the result of the product of this number (138 178) by itself (i.e., 138 178 × 138 178); the square of 138 178 is sometimes called "raising 138 178 to the power 2", or "138 178 squared".
The square of 138 178 is 19 093 159 684 because 138 178 × 138 178 = 138 1782 = 19 093 159 684.
As a consequence, 138 178 is the square root of 19 093 159 684.
The multiples of 138 178 are all integers evenly divisible by 138 178, that is all numbers such that the remainder of the division by 138 178 is zero. There are infinitely many multiples of 138 178. The smallest multiples of 138 178 are: