It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 500 218 is not a prime number.
For example, 500 218 can be divided by 2: 500 218 / 2 = 250 109.
For 500 218 to be a prime number, it would have been required that 500 218 has only two divisors, i.e., itself and 1.
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500 218 is an even number, because it is evenly divisible by 2: 500 218 / 2 = 250 109.
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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 500 218 is about 707.261.
Thus, the square root of 500 218 is not an integer, and therefore 500 218 is not a square number.
The square of a number (here 500 218) is the result of the product of this number (500 218) by itself (i.e., 500 218 × 500 218); the square of 500 218 is sometimes called "raising 500 218 to the power 2", or "500 218 squared".
The square of 500 218 is 250 218 047 524 because 500 218 × 500 218 = 500 2182 = 250 218 047 524.
As a consequence, 500 218 is the square root of 250 218 047 524.
The multiples of 500 218 are all integers evenly divisible by 500 218, that is all numbers such that the remainder of the division by 500 218 is zero. There are infinitely many multiples of 500 218. The smallest multiples of 500 218 are: