It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 729 743 is not a prime number.
For example, 729 743 can be divided by 7: 729 743 / 7 = 104 249.
For 729 743 to be a prime number, it would have been required that 729 743 has only two divisors, i.e., itself and 1.
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729 743 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 729 743 is about 854.250.
Thus, the square root of 729 743 is not an integer, and therefore 729 743 is not a square number.
The square of a number (here 729 743) is the result of the product of this number (729 743) by itself (i.e., 729 743 × 729 743); the square of 729 743 is sometimes called "raising 729 743 to the power 2", or "729 743 squared".
The square of 729 743 is 532 524 846 049 because 729 743 × 729 743 = 729 7432 = 532 524 846 049.
As a consequence, 729 743 is the square root of 532 524 846 049.
The multiples of 729 743 are all integers evenly divisible by 729 743, that is all numbers such that the remainder of the division by 729 743 is zero. There are infinitely many multiples of 729 743. The smallest multiples of 729 743 are: