It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 729 343 is not a prime number.
For example, 729 343 can be divided by 73: 729 343 / 73 = 9 991.
For 729 343 to be a prime number, it would have been required that 729 343 has only two divisors, i.e., itself and 1.
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729 343 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 729 343 is about 854.016.
Thus, the square root of 729 343 is not an integer, and therefore 729 343 is not a square number.
The square of a number (here 729 343) is the result of the product of this number (729 343) by itself (i.e., 729 343 × 729 343); the square of 729 343 is sometimes called "raising 729 343 to the power 2", or "729 343 squared".
The square of 729 343 is 531 941 211 649 because 729 343 × 729 343 = 729 3432 = 531 941 211 649.
As a consequence, 729 343 is the square root of 531 941 211 649.
The multiples of 729 343 are all integers evenly divisible by 729 343, that is all numbers such that the remainder of the division by 729 343 is zero. There are infinitely many multiples of 729 343. The smallest multiples of 729 343 are: