It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 138 381 is not a prime number.
For example, 138 381 can be divided by 3: 138 381 / 3 = 46 127.
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For 138 381 to be a prime number, it would have been required that 138 381 has only two divisors, i.e., itself and 1.
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138 381 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 138 381 is about 371.996.
Thus, the square root of 138 381 is not an integer, and therefore 138 381 is not a square number.
The square of a number (here 138 381) is the result of the product of this number (138 381) by itself (i.e., 138 381 × 138 381); the square of 138 381 is sometimes called "raising 138 381 to the power 2", or "138 381 squared".
The square of 138 381 is 19 149 301 161 because 138 381 × 138 381 = 138 3812 = 19 149 301 161.
As a consequence, 138 381 is the square root of 19 149 301 161.
The multiples of 138 381 are all integers evenly divisible by 138 381, that is all numbers such that the remainder of the division by 138 381 is zero. There are infinitely many multiples of 138 381. The smallest multiples of 138 381 are: