It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 133 167 is not a prime number.
For example, 133 167 can be divided by 3: 133 167 / 3 = 44 389.
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For 133 167 to be a prime number, it would have been required that 133 167 has only two divisors, i.e., itself and 1.
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133 167 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 133 167 is about 364.921.
Thus, the square root of 133 167 is not an integer, and therefore 133 167 is not a square number.
The square of a number (here 133 167) is the result of the product of this number (133 167) by itself (i.e., 133 167 × 133 167); the square of 133 167 is sometimes called "raising 133 167 to the power 2", or "133 167 squared".
The square of 133 167 is 17 733 449 889 because 133 167 × 133 167 = 133 1672 = 17 733 449 889.
As a consequence, 133 167 is the square root of 17 733 449 889.
The multiples of 133 167 are all integers evenly divisible by 133 167, that is all numbers such that the remainder of the division by 133 167 is zero. There are infinitely many multiples of 133 167. The smallest multiples of 133 167 are: