It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 388 729 is not a prime number.
For example, 388 729 can be divided by 11: 388 729 / 11 = 35 339.
For 388 729 to be a prime number, it would have been required that 388 729 has only two divisors, i.e., itself and 1.
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388 729 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 388 729 is about 623.481.
Thus, the square root of 388 729 is not an integer, and therefore 388 729 is not a square number.
The square of a number (here 388 729) is the result of the product of this number (388 729) by itself (i.e., 388 729 × 388 729); the square of 388 729 is sometimes called "raising 388 729 to the power 2", or "388 729 squared".
The square of 388 729 is 151 110 235 441 because 388 729 × 388 729 = 388 7292 = 151 110 235 441.
As a consequence, 388 729 is the square root of 151 110 235 441.
The multiples of 388 729 are all integers evenly divisible by 388 729, that is all numbers such that the remainder of the division by 388 729 is zero. There are infinitely many multiples of 388 729. The smallest multiples of 388 729 are: