It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 138 382 is not a prime number.
For example, 138 382 can be divided by 2: 138 382 / 2 = 69 191.
For 138 382 to be a prime number, it would have been required that 138 382 has only two divisors, i.e., itself and 1.
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138 382 is an even number, because it is evenly divisible by 2: 138 382 / 2 = 69 191.
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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 138 382 is about 371.997.
Thus, the square root of 138 382 is not an integer, and therefore 138 382 is not a square number.
The square of a number (here 138 382) is the result of the product of this number (138 382) by itself (i.e., 138 382 × 138 382); the square of 138 382 is sometimes called "raising 138 382 to the power 2", or "138 382 squared".
The square of 138 382 is 19 149 577 924 because 138 382 × 138 382 = 138 3822 = 19 149 577 924.
As a consequence, 138 382 is the square root of 19 149 577 924.
The multiples of 138 382 are all integers evenly divisible by 138 382, that is all numbers such that the remainder of the division by 138 382 is zero. There are infinitely many multiples of 138 382. The smallest multiples of 138 382 are: