It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 197 211 is not a prime number.
For example, 197 211 can be divided by 3: 197 211 / 3 = 65 737.
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For 197 211 to be a prime number, it would have been required that 197 211 has only two divisors, i.e., itself and 1.
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197 211 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 197 211 is about 444.084.
Thus, the square root of 197 211 is not an integer, and therefore 197 211 is not a square number.
The square of a number (here 197 211) is the result of the product of this number (197 211) by itself (i.e., 197 211 × 197 211); the square of 197 211 is sometimes called "raising 197 211 to the power 2", or "197 211 squared".
The square of 197 211 is 38 892 178 521 because 197 211 × 197 211 = 197 2112 = 38 892 178 521.
As a consequence, 197 211 is the square root of 38 892 178 521.
The multiples of 197 211 are all integers evenly divisible by 197 211, that is all numbers such that the remainder of the division by 197 211 is zero. There are infinitely many multiples of 197 211. The smallest multiples of 197 211 are: