It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 470 502 is not a prime number.
For example, 470 502 can be divided by 2: 470 502 / 2 = 235 251.
For 470 502 to be a prime number, it would have been required that 470 502 has only two divisors, i.e., itself and 1.
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470 502 is an even number, because it is evenly divisible by 2: 470 502 / 2 = 235 251.
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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 470 502 is about 685.931.
Thus, the square root of 470 502 is not an integer, and therefore 470 502 is not a square number.
The square of a number (here 470 502) is the result of the product of this number (470 502) by itself (i.e., 470 502 × 470 502); the square of 470 502 is sometimes called "raising 470 502 to the power 2", or "470 502 squared".
The square of 470 502 is 221 372 132 004 because 470 502 × 470 502 = 470 5022 = 221 372 132 004.
As a consequence, 470 502 is the square root of 221 372 132 004.
The multiples of 470 502 are all integers evenly divisible by 470 502, that is all numbers such that the remainder of the division by 470 502 is zero. There are infinitely many multiples of 470 502. The smallest multiples of 470 502 are: