It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 748 727 is not a prime number.
For example, 748 727 can be divided by 7: 748 727 / 7 = 106 961.
For 748 727 to be a prime number, it would have been required that 748 727 has only two divisors, i.e., itself and 1.
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748 727 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 748 727 is about 865.290.
Thus, the square root of 748 727 is not an integer, and therefore 748 727 is not a square number.
The square of a number (here 748 727) is the result of the product of this number (748 727) by itself (i.e., 748 727 × 748 727); the square of 748 727 is sometimes called "raising 748 727 to the power 2", or "748 727 squared".
The square of 748 727 is 560 592 120 529 because 748 727 × 748 727 = 748 7272 = 560 592 120 529.
As a consequence, 748 727 is the square root of 560 592 120 529.
The multiples of 748 727 are all integers evenly divisible by 748 727, that is all numbers such that the remainder of the division by 748 727 is zero. There are infinitely many multiples of 748 727. The smallest multiples of 748 727 are: