It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 138 089 is not a prime number.
For example, 138 089 can be divided by 7: 138 089 / 7 = 19 727.
For 138 089 to be a prime number, it would have been required that 138 089 has only two divisors, i.e., itself and 1.
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138 089 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 138 089 is about 371.603.
Thus, the square root of 138 089 is not an integer, and therefore 138 089 is not a square number.
The square of a number (here 138 089) is the result of the product of this number (138 089) by itself (i.e., 138 089 × 138 089); the square of 138 089 is sometimes called "raising 138 089 to the power 2", or "138 089 squared".
The square of 138 089 is 19 068 571 921 because 138 089 × 138 089 = 138 0892 = 19 068 571 921.
As a consequence, 138 089 is the square root of 19 068 571 921.
The multiples of 138 089 are all integers evenly divisible by 138 089, that is all numbers such that the remainder of the division by 138 089 is zero. There are infinitely many multiples of 138 089. The smallest multiples of 138 089 are: