It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 138 838 is not a prime number.
For example, 138 838 can be divided by 2: 138 838 / 2 = 69 419.
For 138 838 to be a prime number, it would have been required that 138 838 has only two divisors, i.e., itself and 1.
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138 838 is an even number, because it is evenly divisible by 2: 138 838 / 2 = 69 419.
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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 138 838 is about 372.610.
Thus, the square root of 138 838 is not an integer, and therefore 138 838 is not a square number.
The square of a number (here 138 838) is the result of the product of this number (138 838) by itself (i.e., 138 838 × 138 838); the square of 138 838 is sometimes called "raising 138 838 to the power 2", or "138 838 squared".
The square of 138 838 is 19 275 990 244 because 138 838 × 138 838 = 138 8382 = 19 275 990 244.
As a consequence, 138 838 is the square root of 19 275 990 244.
The multiples of 138 838 are all integers evenly divisible by 138 838, that is all numbers such that the remainder of the division by 138 838 is zero. There are infinitely many multiples of 138 838. The smallest multiples of 138 838 are: