It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 243 307 is not a prime number.
For example, 243 307 can be divided by 467: 243 307 / 467 = 521.
For 243 307 to be a prime number, it would have been required that 243 307 has only two divisors, i.e., itself and 1.
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243 307 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 243 307 is about 493.262.
Thus, the square root of 243 307 is not an integer, and therefore 243 307 is not a square number.
The square of a number (here 243 307) is the result of the product of this number (243 307) by itself (i.e., 243 307 × 243 307); the square of 243 307 is sometimes called "raising 243 307 to the power 2", or "243 307 squared".
The square of 243 307 is 59 198 296 249 because 243 307 × 243 307 = 243 3072 = 59 198 296 249.
As a consequence, 243 307 is the square root of 59 198 296 249.
The multiples of 243 307 are all integers evenly divisible by 243 307, that is all numbers such that the remainder of the division by 243 307 is zero. There are infinitely many multiples of 243 307. The smallest multiples of 243 307 are: