It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 138 321 is not a prime number.
For example, 138 321 can be divided by 3: 138 321 / 3 = 46 107.
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For 138 321 to be a prime number, it would have been required that 138 321 has only two divisors, i.e., itself and 1.
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138 321 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 138 321 is about 371.915.
Thus, the square root of 138 321 is not an integer, and therefore 138 321 is not a square number.
The square of a number (here 138 321) is the result of the product of this number (138 321) by itself (i.e., 138 321 × 138 321); the square of 138 321 is sometimes called "raising 138 321 to the power 2", or "138 321 squared".
The square of 138 321 is 19 132 699 041 because 138 321 × 138 321 = 138 3212 = 19 132 699 041.
As a consequence, 138 321 is the square root of 19 132 699 041.
The multiples of 138 321 are all integers evenly divisible by 138 321, that is all numbers such that the remainder of the division by 138 321 is zero. There are infinitely many multiples of 138 321. The smallest multiples of 138 321 are: