It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 133 197 is not a prime number.
For example, 133 197 can be divided by 3: 133 197 / 3 = 44 399.
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For 133 197 to be a prime number, it would have been required that 133 197 has only two divisors, i.e., itself and 1.
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133 197 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 133 197 is about 364.962.
Thus, the square root of 133 197 is not an integer, and therefore 133 197 is not a square number.
The square of a number (here 133 197) is the result of the product of this number (133 197) by itself (i.e., 133 197 × 133 197); the square of 133 197 is sometimes called "raising 133 197 to the power 2", or "133 197 squared".
The square of 133 197 is 17 741 440 809 because 133 197 × 133 197 = 133 1972 = 17 741 440 809.
As a consequence, 133 197 is the square root of 17 741 440 809.
The multiples of 133 197 are all integers evenly divisible by 133 197, that is all numbers such that the remainder of the division by 133 197 is zero. There are infinitely many multiples of 133 197. The smallest multiples of 133 197 are: