It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 197 212 is not a prime number.
For example, 197 212 can be divided by 2: 197 212 / 2 = 98 606.
For 197 212 to be a prime number, it would have been required that 197 212 has only two divisors, i.e., itself and 1.
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197 212 is an even number, because it is evenly divisible by 2: 197 212 / 2 = 98 606.
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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 197 212 is about 444.086.
Thus, the square root of 197 212 is not an integer, and therefore 197 212 is not a square number.
The square of a number (here 197 212) is the result of the product of this number (197 212) by itself (i.e., 197 212 × 197 212); the square of 197 212 is sometimes called "raising 197 212 to the power 2", or "197 212 squared".
The square of 197 212 is 38 892 572 944 because 197 212 × 197 212 = 197 2122 = 38 892 572 944.
As a consequence, 197 212 is the square root of 38 892 572 944.
The multiples of 197 212 are all integers evenly divisible by 197 212, that is all numbers such that the remainder of the division by 197 212 is zero. There are infinitely many multiples of 197 212. The smallest multiples of 197 212 are: