It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 240 307 is not a prime number.
For example, 240 307 can be divided by 59: 240 307 / 59 = 4 073.
For 240 307 to be a prime number, it would have been required that 240 307 has only two divisors, i.e., itself and 1.
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240 307 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 240 307 is about 490.211.
Thus, the square root of 240 307 is not an integer, and therefore 240 307 is not a square number.
The square of a number (here 240 307) is the result of the product of this number (240 307) by itself (i.e., 240 307 × 240 307); the square of 240 307 is sometimes called "raising 240 307 to the power 2", or "240 307 squared".
The square of 240 307 is 57 747 454 249 because 240 307 × 240 307 = 240 3072 = 57 747 454 249.
As a consequence, 240 307 is the square root of 57 747 454 249.
The multiples of 240 307 are all integers evenly divisible by 240 307, that is all numbers such that the remainder of the division by 240 307 is zero. There are infinitely many multiples of 240 307. The smallest multiples of 240 307 are: