It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 100 729 is not a prime number.
For example, 100 729 can be divided by 263: 100 729 / 263 = 383.
For 100 729 to be a prime number, it would have been required that 100 729 has only two divisors, i.e., itself and 1.
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100 729 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 100 729 is about 317.378.
Thus, the square root of 100 729 is not an integer, and therefore 100 729 is not a square number.
The square of a number (here 100 729) is the result of the product of this number (100 729) by itself (i.e., 100 729 × 100 729); the square of 100 729 is sometimes called "raising 100 729 to the power 2", or "100 729 squared".
The square of 100 729 is 10 146 331 441 because 100 729 × 100 729 = 100 7292 = 10 146 331 441.
As a consequence, 100 729 is the square root of 10 146 331 441.
The multiples of 100 729 are all integers evenly divisible by 100 729, that is all numbers such that the remainder of the division by 100 729 is zero. There are infinitely many multiples of 100 729. The smallest multiples of 100 729 are: