It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 488 306 is not a prime number.
For example, 488 306 can be divided by 2: 488 306 / 2 = 244 153.
For 488 306 to be a prime number, it would have been required that 488 306 has only two divisors, i.e., itself and 1.
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488 306 is an even number, because it is evenly divisible by 2: 488 306 / 2 = 244 153.
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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 488 306 is about 698.789.
Thus, the square root of 488 306 is not an integer, and therefore 488 306 is not a square number.
The square of a number (here 488 306) is the result of the product of this number (488 306) by itself (i.e., 488 306 × 488 306); the square of 488 306 is sometimes called "raising 488 306 to the power 2", or "488 306 squared".
The square of 488 306 is 238 442 749 636 because 488 306 × 488 306 = 488 3062 = 238 442 749 636.
As a consequence, 488 306 is the square root of 238 442 749 636.
The multiples of 488 306 are all integers evenly divisible by 488 306, that is all numbers such that the remainder of the division by 488 306 is zero. There are infinitely many multiples of 488 306. The smallest multiples of 488 306 are: