It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 130 312 is not a prime number.
For example, 130 312 can be divided by 2: 130 312 / 2 = 65 156.
For 130 312 to be a prime number, it would have been required that 130 312 has only two divisors, i.e., itself and 1.
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130 312 is an even number, because it is evenly divisible by 2: 130 312 / 2 = 65 156.
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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 130 312 is about 360.988.
Thus, the square root of 130 312 is not an integer, and therefore 130 312 is not a square number.
The square of a number (here 130 312) is the result of the product of this number (130 312) by itself (i.e., 130 312 × 130 312); the square of 130 312 is sometimes called "raising 130 312 to the power 2", or "130 312 squared".
The square of 130 312 is 16 981 217 344 because 130 312 × 130 312 = 130 3122 = 16 981 217 344.
As a consequence, 130 312 is the square root of 16 981 217 344.
The multiples of 130 312 are all integers evenly divisible by 130 312, that is all numbers such that the remainder of the division by 130 312 is zero. There are infinitely many multiples of 130 312. The smallest multiples of 130 312 are: