It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 13 243 is not a prime number.
For example, 13 243 can be divided by 17: 13 243 / 17 = 779.
For 13 243 to be a prime number, it would have been required that 13 243 has only two divisors, i.e., itself and 1.
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13 243 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 13 243 is about 115.078.
Thus, the square root of 13 243 is not an integer, and therefore 13 243 is not a square number.
The square of a number (here 13 243) is the result of the product of this number (13 243) by itself (i.e., 13 243 × 13 243); the square of 13 243 is sometimes called "raising 13 243 to the power 2", or "13 243 squared".
The square of 13 243 is 175 377 049 because 13 243 × 13 243 = 13 2432 = 175 377 049.
As a consequence, 13 243 is the square root of 175 377 049.
The multiples of 13 243 are all integers evenly divisible by 13 243, that is all numbers such that the remainder of the division by 13 243 is zero. There are infinitely many multiples of 13 243. The smallest multiples of 13 243 are: