It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 130 311 is not a prime number.
For example, 130 311 can be divided by 3: 130 311 / 3 = 43 437.
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For 130 311 to be a prime number, it would have been required that 130 311 has only two divisors, i.e., itself and 1.
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130 311 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 130 311 is about 360.986.
Thus, the square root of 130 311 is not an integer, and therefore 130 311 is not a square number.
The square of a number (here 130 311) is the result of the product of this number (130 311) by itself (i.e., 130 311 × 130 311); the square of 130 311 is sometimes called "raising 130 311 to the power 2", or "130 311 squared".
The square of 130 311 is 16 980 956 721 because 130 311 × 130 311 = 130 3112 = 16 980 956 721.
As a consequence, 130 311 is the square root of 16 980 956 721.
The multiples of 130 311 are all integers evenly divisible by 130 311, that is all numbers such that the remainder of the division by 130 311 is zero. There are infinitely many multiples of 130 311. The smallest multiples of 130 311 are: