It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 133 113 is not a prime number.
For example, 133 113 can be divided by 3: 133 113 / 3 = 44 371.
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For 133 113 to be a prime number, it would have been required that 133 113 has only two divisors, i.e., itself and 1.
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133 113 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 133 113 is about 364.847.
Thus, the square root of 133 113 is not an integer, and therefore 133 113 is not a square number.
The square of a number (here 133 113) is the result of the product of this number (133 113) by itself (i.e., 133 113 × 133 113); the square of 133 113 is sometimes called "raising 133 113 to the power 2", or "133 113 squared".
The square of 133 113 is 17 719 070 769 because 133 113 × 133 113 = 133 1132 = 17 719 070 769.
As a consequence, 133 113 is the square root of 17 719 070 769.
The multiples of 133 113 are all integers evenly divisible by 133 113, that is all numbers such that the remainder of the division by 133 113 is zero. There are infinitely many multiples of 133 113. The smallest multiples of 133 113 are: