It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 413 133 is not a prime number.
For example, 413 133 can be divided by 3: 413 133 / 3 = 137 711.
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For 413 133 to be a prime number, it would have been required that 413 133 has only two divisors, i.e., itself and 1.
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413 133 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 413 133 is about 642.754.
Thus, the square root of 413 133 is not an integer, and therefore 413 133 is not a square number.
The square of a number (here 413 133) is the result of the product of this number (413 133) by itself (i.e., 413 133 × 413 133); the square of 413 133 is sometimes called "raising 413 133 to the power 2", or "413 133 squared".
The square of 413 133 is 170 678 875 689 because 413 133 × 413 133 = 413 1332 = 170 678 875 689.
As a consequence, 413 133 is the square root of 170 678 875 689.
The multiples of 413 133 are all integers evenly divisible by 413 133, that is all numbers such that the remainder of the division by 413 133 is zero. There are infinitely many multiples of 413 133. The smallest multiples of 413 133 are: