It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 130 306 is not a prime number.
For example, 130 306 can be divided by 2: 130 306 / 2 = 65 153.
For 130 306 to be a prime number, it would have been required that 130 306 has only two divisors, i.e., itself and 1.
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130 306 is an even number, because it is evenly divisible by 2: 130 306 / 2 = 65 153.
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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 130 306 is about 360.979.
Thus, the square root of 130 306 is not an integer, and therefore 130 306 is not a square number.
The square of a number (here 130 306) is the result of the product of this number (130 306) by itself (i.e., 130 306 × 130 306); the square of 130 306 is sometimes called "raising 130 306 to the power 2", or "130 306 squared".
The square of 130 306 is 16 979 653 636 because 130 306 × 130 306 = 130 3062 = 16 979 653 636.
As a consequence, 130 306 is the square root of 16 979 653 636.
The multiples of 130 306 are all integers evenly divisible by 130 306, that is all numbers such that the remainder of the division by 130 306 is zero. There are infinitely many multiples of 130 306. The smallest multiples of 130 306 are: