It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 138 358 is not a prime number.
For example, 138 358 can be divided by 2: 138 358 / 2 = 69 179.
For 138 358 to be a prime number, it would have been required that 138 358 has only two divisors, i.e., itself and 1.
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138 358 is an even number, because it is evenly divisible by 2: 138 358 / 2 = 69 179.
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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 138 358 is about 371.965.
Thus, the square root of 138 358 is not an integer, and therefore 138 358 is not a square number.
The square of a number (here 138 358) is the result of the product of this number (138 358) by itself (i.e., 138 358 × 138 358); the square of 138 358 is sometimes called "raising 138 358 to the power 2", or "138 358 squared".
The square of 138 358 is 19 142 936 164 because 138 358 × 138 358 = 138 3582 = 19 142 936 164.
As a consequence, 138 358 is the square root of 19 142 936 164.
The multiples of 138 358 are all integers evenly divisible by 138 358, that is all numbers such that the remainder of the division by 138 358 is zero. There are infinitely many multiples of 138 358. The smallest multiples of 138 358 are: