It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 300 398 is not a prime number.
For example, 300 398 can be divided by 2: 300 398 / 2 = 150 199.
For 300 398 to be a prime number, it would have been required that 300 398 has only two divisors, i.e., itself and 1.
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300 398 is an even number, because it is evenly divisible by 2: 300 398 / 2 = 150 199.
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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 300 398 is about 548.086.
Thus, the square root of 300 398 is not an integer, and therefore 300 398 is not a square number.
The square of a number (here 300 398) is the result of the product of this number (300 398) by itself (i.e., 300 398 × 300 398); the square of 300 398 is sometimes called "raising 300 398 to the power 2", or "300 398 squared".
The square of 300 398 is 90 238 958 404 because 300 398 × 300 398 = 300 3982 = 90 238 958 404.
As a consequence, 300 398 is the square root of 90 238 958 404.
The multiples of 300 398 are all integers evenly divisible by 300 398, that is all numbers such that the remainder of the division by 300 398 is zero. There are infinitely many multiples of 300 398. The smallest multiples of 300 398 are: