It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 338 329 is not a prime number.
For example, 338 329 can be divided by 193: 338 329 / 193 = 1 753.
For 338 329 to be a prime number, it would have been required that 338 329 has only two divisors, i.e., itself and 1.
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338 329 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 338 329 is about 581.661.
Thus, the square root of 338 329 is not an integer, and therefore 338 329 is not a square number.
The square of a number (here 338 329) is the result of the product of this number (338 329) by itself (i.e., 338 329 × 338 329); the square of 338 329 is sometimes called "raising 338 329 to the power 2", or "338 329 squared".
The square of 338 329 is 114 466 512 241 because 338 329 × 338 329 = 338 3292 = 114 466 512 241.
As a consequence, 338 329 is the square root of 114 466 512 241.
The multiples of 338 329 are all integers evenly divisible by 338 329, that is all numbers such that the remainder of the division by 338 329 is zero. There are infinitely many multiples of 338 329. The smallest multiples of 338 329 are: