It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 197 331 is not a prime number.
For example, 197 331 can be divided by 3: 197 331 / 3 = 65 777.
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For 197 331 to be a prime number, it would have been required that 197 331 has only two divisors, i.e., itself and 1.
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197 331 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 197 331 is about 444.220.
Thus, the square root of 197 331 is not an integer, and therefore 197 331 is not a square number.
The square of a number (here 197 331) is the result of the product of this number (197 331) by itself (i.e., 197 331 × 197 331); the square of 197 331 is sometimes called "raising 197 331 to the power 2", or "197 331 squared".
The square of 197 331 is 38 939 523 561 because 197 331 × 197 331 = 197 3312 = 38 939 523 561.
As a consequence, 197 331 is the square root of 38 939 523 561.
The multiples of 197 331 are all integers evenly divisible by 197 331, that is all numbers such that the remainder of the division by 197 331 is zero. There are infinitely many multiples of 197 331. The smallest multiples of 197 331 are: