It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 423 329 is not a prime number.
For example, 423 329 can be divided by 47: 423 329 / 47 = 9 007.
For 423 329 to be a prime number, it would have been required that 423 329 has only two divisors, i.e., itself and 1.
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423 329 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 423 329 is about 650.637.
Thus, the square root of 423 329 is not an integer, and therefore 423 329 is not a square number.
The square of a number (here 423 329) is the result of the product of this number (423 329) by itself (i.e., 423 329 × 423 329); the square of 423 329 is sometimes called "raising 423 329 to the power 2", or "423 329 squared".
The square of 423 329 is 179 207 442 241 because 423 329 × 423 329 = 423 3292 = 179 207 442 241.
As a consequence, 423 329 is the square root of 179 207 442 241.
The multiples of 423 329 are all integers evenly divisible by 423 329, that is all numbers such that the remainder of the division by 423 329 is zero. There are infinitely many multiples of 423 329. The smallest multiples of 423 329 are: