It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 240 309 is not a prime number.
For example, 240 309 can be divided by 3: 240 309 / 3 = 80 103.
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For 240 309 to be a prime number, it would have been required that 240 309 has only two divisors, i.e., itself and 1.
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240 309 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 240 309 is about 490.213.
Thus, the square root of 240 309 is not an integer, and therefore 240 309 is not a square number.
The square of a number (here 240 309) is the result of the product of this number (240 309) by itself (i.e., 240 309 × 240 309); the square of 240 309 is sometimes called "raising 240 309 to the power 2", or "240 309 squared".
The square of 240 309 is 57 748 415 481 because 240 309 × 240 309 = 240 3092 = 57 748 415 481.
As a consequence, 240 309 is the square root of 57 748 415 481.
The multiples of 240 309 are all integers evenly divisible by 240 309, that is all numbers such that the remainder of the division by 240 309 is zero. There are infinitely many multiples of 240 309. The smallest multiples of 240 309 are: