It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 240 306 is not a prime number.
For example, 240 306 can be divided by 2: 240 306 / 2 = 120 153.
For 240 306 to be a prime number, it would have been required that 240 306 has only two divisors, i.e., itself and 1.
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240 306 is an even number, because it is evenly divisible by 2: 240 306 / 2 = 120 153.
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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 240 306 is about 490.210.
Thus, the square root of 240 306 is not an integer, and therefore 240 306 is not a square number.
The square of a number (here 240 306) is the result of the product of this number (240 306) by itself (i.e., 240 306 × 240 306); the square of 240 306 is sometimes called "raising 240 306 to the power 2", or "240 306 squared".
The square of 240 306 is 57 746 973 636 because 240 306 × 240 306 = 240 3062 = 57 746 973 636.
As a consequence, 240 306 is the square root of 57 746 973 636.
The multiples of 240 306 are all integers evenly divisible by 240 306, that is all numbers such that the remainder of the division by 240 306 is zero. There are infinitely many multiples of 240 306. The smallest multiples of 240 306 are: