It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 135 729 is not a prime number.
For example, 135 729 can be divided by 3: 135 729 / 3 = 45 243.
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For 135 729 to be a prime number, it would have been required that 135 729 has only two divisors, i.e., itself and 1.
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135 729 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 135 729 is about 368.414.
Thus, the square root of 135 729 is not an integer, and therefore 135 729 is not a square number.
The square of a number (here 135 729) is the result of the product of this number (135 729) by itself (i.e., 135 729 × 135 729); the square of 135 729 is sometimes called "raising 135 729 to the power 2", or "135 729 squared".
The square of 135 729 is 18 422 361 441 because 135 729 × 135 729 = 135 7292 = 18 422 361 441.
As a consequence, 135 729 is the square root of 18 422 361 441.
The multiples of 135 729 are all integers evenly divisible by 135 729, that is all numbers such that the remainder of the division by 135 729 is zero. There are infinitely many multiples of 135 729. The smallest multiples of 135 729 are: