It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 530 313 is not a prime number.
For example, 530 313 can be divided by 3: 530 313 / 3 = 176 771.
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For 530 313 to be a prime number, it would have been required that 530 313 has only two divisors, i.e., itself and 1.
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530 313 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 530 313 is about 728.226.
Thus, the square root of 530 313 is not an integer, and therefore 530 313 is not a square number.
The square of a number (here 530 313) is the result of the product of this number (530 313) by itself (i.e., 530 313 × 530 313); the square of 530 313 is sometimes called "raising 530 313 to the power 2", or "530 313 squared".
The square of 530 313 is 281 231 877 969 because 530 313 × 530 313 = 530 3132 = 281 231 877 969.
As a consequence, 530 313 is the square root of 281 231 877 969.
The multiples of 530 313 are all integers evenly divisible by 530 313, that is all numbers such that the remainder of the division by 530 313 is zero. There are infinitely many multiples of 530 313. The smallest multiples of 530 313 are: