It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 50 493 is not a prime number.
For example, 50 493 can be divided by 3: 50 493 / 3 = 16 831.
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For 50 493 to be a prime number, it would have been required that 50 493 has only two divisors, i.e., itself and 1.
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50 493 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 50 493 is about 224.706.
Thus, the square root of 50 493 is not an integer, and therefore 50 493 is not a square number.
The square of a number (here 50 493) is the result of the product of this number (50 493) by itself (i.e., 50 493 × 50 493); the square of 50 493 is sometimes called "raising 50 493 to the power 2", or "50 493 squared".
The square of 50 493 is 2 549 543 049 because 50 493 × 50 493 = 50 4932 = 2 549 543 049.
As a consequence, 50 493 is the square root of 2 549 543 049.
The multiples of 50 493 are all integers evenly divisible by 50 493, that is all numbers such that the remainder of the division by 50 493 is zero. There are infinitely many multiples of 50 493. The smallest multiples of 50 493 are: