It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 501 198 is not a prime number.
For example, 501 198 can be divided by 2: 501 198 / 2 = 250 599.
For 501 198 to be a prime number, it would have been required that 501 198 has only two divisors, i.e., itself and 1.
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501 198 is an even number, because it is evenly divisible by 2: 501 198 / 2 = 250 599.
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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 501 198 is about 707.953.
Thus, the square root of 501 198 is not an integer, and therefore 501 198 is not a square number.
The square of a number (here 501 198) is the result of the product of this number (501 198) by itself (i.e., 501 198 × 501 198); the square of 501 198 is sometimes called "raising 501 198 to the power 2", or "501 198 squared".
The square of 501 198 is 251 199 435 204 because 501 198 × 501 198 = 501 1982 = 251 199 435 204.
As a consequence, 501 198 is the square root of 251 199 435 204.
The multiples of 501 198 are all integers evenly divisible by 501 198, that is all numbers such that the remainder of the division by 501 198 is zero. There are infinitely many multiples of 501 198. The smallest multiples of 501 198 are: