It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 470 321 is not a prime number.
For example, 470 321 can be divided by 137: 470 321 / 137 = 3 433.
For 470 321 to be a prime number, it would have been required that 470 321 has only two divisors, i.e., itself and 1.
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470 321 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 470 321 is about 685.800.
Thus, the square root of 470 321 is not an integer, and therefore 470 321 is not a square number.
The square of a number (here 470 321) is the result of the product of this number (470 321) by itself (i.e., 470 321 × 470 321); the square of 470 321 is sometimes called "raising 470 321 to the power 2", or "470 321 squared".
The square of 470 321 is 221 201 843 041 because 470 321 × 470 321 = 470 3212 = 221 201 843 041.
As a consequence, 470 321 is the square root of 221 201 843 041.
The multiples of 470 321 are all integers evenly divisible by 470 321, that is all numbers such that the remainder of the division by 470 321 is zero. There are infinitely many multiples of 470 321. The smallest multiples of 470 321 are: