It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 138 938 is not a prime number.
For example, 138 938 can be divided by 2: 138 938 / 2 = 69 469.
For 138 938 to be a prime number, it would have been required that 138 938 has only two divisors, i.e., itself and 1.
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138 938 is an even number, because it is evenly divisible by 2: 138 938 / 2 = 69 469.
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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 138 938 is about 372.744.
Thus, the square root of 138 938 is not an integer, and therefore 138 938 is not a square number.
The square of a number (here 138 938) is the result of the product of this number (138 938) by itself (i.e., 138 938 × 138 938); the square of 138 938 is sometimes called "raising 138 938 to the power 2", or "138 938 squared".
The square of 138 938 is 19 303 767 844 because 138 938 × 138 938 = 138 9382 = 19 303 767 844.
As a consequence, 138 938 is the square root of 19 303 767 844.
The multiples of 138 938 are all integers evenly divisible by 138 938, that is all numbers such that the remainder of the division by 138 938 is zero. There are infinitely many multiples of 138 938. The smallest multiples of 138 938 are: