It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 475 309 is not a prime number.
For example, 475 309 can be divided by 421: 475 309 / 421 = 1 129.
For 475 309 to be a prime number, it would have been required that 475 309 has only two divisors, i.e., itself and 1.
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475 309 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 475 309 is about 689.427.
Thus, the square root of 475 309 is not an integer, and therefore 475 309 is not a square number.
The square of a number (here 475 309) is the result of the product of this number (475 309) by itself (i.e., 475 309 × 475 309); the square of 475 309 is sometimes called "raising 475 309 to the power 2", or "475 309 squared".
The square of 475 309 is 225 918 645 481 because 475 309 × 475 309 = 475 3092 = 225 918 645 481.
As a consequence, 475 309 is the square root of 225 918 645 481.
The multiples of 475 309 are all integers evenly divisible by 475 309, that is all numbers such that the remainder of the division by 475 309 is zero. There are infinitely many multiples of 475 309. The smallest multiples of 475 309 are: