It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 198 138 is not a prime number.
For example, 198 138 can be divided by 2: 198 138 / 2 = 99 069.
For 198 138 to be a prime number, it would have been required that 198 138 has only two divisors, i.e., itself and 1.
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198 138 is an even number, because it is evenly divisible by 2: 198 138 / 2 = 99 069.
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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 198 138 is about 445.127.
Thus, the square root of 198 138 is not an integer, and therefore 198 138 is not a square number.
The square of a number (here 198 138) is the result of the product of this number (198 138) by itself (i.e., 198 138 × 198 138); the square of 198 138 is sometimes called "raising 198 138 to the power 2", or "198 138 squared".
The square of 198 138 is 39 258 667 044 because 198 138 × 198 138 = 198 1382 = 39 258 667 044.
As a consequence, 198 138 is the square root of 39 258 667 044.
The multiples of 198 138 are all integers evenly divisible by 198 138, that is all numbers such that the remainder of the division by 198 138 is zero. There are infinitely many multiples of 198 138. The smallest multiples of 198 138 are: