It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 47 729 is not a prime number.
For example, 47 729 can be divided by 11: 47 729 / 11 = 4 339.
For 47 729 to be a prime number, it would have been required that 47 729 has only two divisors, i.e., itself and 1.
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47 729 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 47 729 is about 218.470.
Thus, the square root of 47 729 is not an integer, and therefore 47 729 is not a square number.
The square of a number (here 47 729) is the result of the product of this number (47 729) by itself (i.e., 47 729 × 47 729); the square of 47 729 is sometimes called "raising 47 729 to the power 2", or "47 729 squared".
The square of 47 729 is 2 278 057 441 because 47 729 × 47 729 = 47 7292 = 2 278 057 441.
As a consequence, 47 729 is the square root of 2 278 057 441.
The multiples of 47 729 are all integers evenly divisible by 47 729, that is all numbers such that the remainder of the division by 47 729 is zero. There are infinitely many multiples of 47 729. The smallest multiples of 47 729 are: