It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 138 189 is not a prime number.
For example, 138 189 can be divided by 3: 138 189 / 3 = 46 063.
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For 138 189 to be a prime number, it would have been required that 138 189 has only two divisors, i.e., itself and 1.
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138 189 is an odd number, because it is not evenly divisible by 2.
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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 138 189 is about 371.738.
Thus, the square root of 138 189 is not an integer, and therefore 138 189 is not a square number.
The square of a number (here 138 189) is the result of the product of this number (138 189) by itself (i.e., 138 189 × 138 189); the square of 138 189 is sometimes called "raising 138 189 to the power 2", or "138 189 squared".
The square of 138 189 is 19 096 199 721 because 138 189 × 138 189 = 138 1892 = 19 096 199 721.
As a consequence, 138 189 is the square root of 19 096 199 721.
The multiples of 138 189 are all integers evenly divisible by 138 189, that is all numbers such that the remainder of the division by 138 189 is zero. There are infinitely many multiples of 138 189. The smallest multiples of 138 189 are: