It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 198 729 is not a prime number.
For example, 198 729 can be divided by 3: 198 729 / 3 = 66 243.
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For 198 729 to be a prime number, it would have been required that 198 729 has only two divisors, i.e., itself and 1.
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198 729 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 198 729 is about 445.790.
Thus, the square root of 198 729 is not an integer, and therefore 198 729 is not a square number.
The square of a number (here 198 729) is the result of the product of this number (198 729) by itself (i.e., 198 729 × 198 729); the square of 198 729 is sometimes called "raising 198 729 to the power 2", or "198 729 squared".
The square of 198 729 is 39 493 215 441 because 198 729 × 198 729 = 198 7292 = 39 493 215 441.
As a consequence, 198 729 is the square root of 39 493 215 441.
The multiples of 198 729 are all integers evenly divisible by 198 729, that is all numbers such that the remainder of the division by 198 729 is zero. There are infinitely many multiples of 198 729. The smallest multiples of 198 729 are: