It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 497 204 is not a prime number.
For example, 497 204 can be divided by 2: 497 204 / 2 = 248 602.
For 497 204 to be a prime number, it would have been required that 497 204 has only two divisors, i.e., itself and 1.
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497 204 is an even number, because it is evenly divisible by 2: 497 204 / 2 = 248 602.
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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 497 204 is about 705.127.
Thus, the square root of 497 204 is not an integer, and therefore 497 204 is not a square number.
The square of a number (here 497 204) is the result of the product of this number (497 204) by itself (i.e., 497 204 × 497 204); the square of 497 204 is sometimes called "raising 497 204 to the power 2", or "497 204 squared".
The square of 497 204 is 247 211 817 616 because 497 204 × 497 204 = 497 2042 = 247 211 817 616.
As a consequence, 497 204 is the square root of 247 211 817 616.
The multiples of 497 204 are all integers evenly divisible by 497 204, that is all numbers such that the remainder of the division by 497 204 is zero. There are infinitely many multiples of 497 204. The smallest multiples of 497 204 are: