It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 133 209 is not a prime number.
For example, 133 209 can be divided by 3: 133 209 / 3 = 44 403.
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For 133 209 to be a prime number, it would have been required that 133 209 has only two divisors, i.e., itself and 1.
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133 209 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 133 209 is about 364.978.
Thus, the square root of 133 209 is not an integer, and therefore 133 209 is not a square number.
The square of a number (here 133 209) is the result of the product of this number (133 209) by itself (i.e., 133 209 × 133 209); the square of 133 209 is sometimes called "raising 133 209 to the power 2", or "133 209 squared".
The square of 133 209 is 17 744 637 681 because 133 209 × 133 209 = 133 2092 = 17 744 637 681.
As a consequence, 133 209 is the square root of 17 744 637 681.
The multiples of 133 209 are all integers evenly divisible by 133 209, that is all numbers such that the remainder of the division by 133 209 is zero. There are infinitely many multiples of 133 209. The smallest multiples of 133 209 are: