It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 998 233 is not a prime number.
For example, 998 233 can be divided by 47: 998 233 / 47 = 21 239.
For 998 233 to be a prime number, it would have been required that 998 233 has only two divisors, i.e., itself and 1.
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998 233 is an odd number, because it is not evenly divisible by 2.
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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 998 233 is about 999.116.
Thus, the square root of 998 233 is not an integer, and therefore 998 233 is not a square number.
The square of a number (here 998 233) is the result of the product of this number (998 233) by itself (i.e., 998 233 × 998 233); the square of 998 233 is sometimes called "raising 998 233 to the power 2", or "998 233 squared".
The square of 998 233 is 996 469 122 289 because 998 233 × 998 233 = 998 2332 = 996 469 122 289.
As a consequence, 998 233 is the square root of 996 469 122 289.
The multiples of 998 233 are all integers evenly divisible by 998 233, that is all numbers such that the remainder of the division by 998 233 is zero. There are infinitely many multiples of 998 233. The smallest multiples of 998 233 are: