It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 748 427 is not a prime number.
For example, 748 427 can be divided by 149: 748 427 / 149 = 5 023.
For 748 427 to be a prime number, it would have been required that 748 427 has only two divisors, i.e., itself and 1.
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748 427 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 748 427 is about 865.117.
Thus, the square root of 748 427 is not an integer, and therefore 748 427 is not a square number.
The square of a number (here 748 427) is the result of the product of this number (748 427) by itself (i.e., 748 427 × 748 427); the square of 748 427 is sometimes called "raising 748 427 to the power 2", or "748 427 squared".
The square of 748 427 is 560 142 974 329 because 748 427 × 748 427 = 748 4272 = 560 142 974 329.
As a consequence, 748 427 is the square root of 560 142 974 329.
The multiples of 748 427 are all integers evenly divisible by 748 427, that is all numbers such that the remainder of the division by 748 427 is zero. There are infinitely many multiples of 748 427. The smallest multiples of 748 427 are: