It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 338 343 is not a prime number.
For example, 338 343 can be divided by 3: 338 343 / 3 = 112 781.
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For 338 343 to be a prime number, it would have been required that 338 343 has only two divisors, i.e., itself and 1.
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338 343 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 338 343 is about 581.673.
Thus, the square root of 338 343 is not an integer, and therefore 338 343 is not a square number.
The square of a number (here 338 343) is the result of the product of this number (338 343) by itself (i.e., 338 343 × 338 343); the square of 338 343 is sometimes called "raising 338 343 to the power 2", or "338 343 squared".
The square of 338 343 is 114 475 985 649 because 338 343 × 338 343 = 338 3432 = 114 475 985 649.
As a consequence, 338 343 is the square root of 114 475 985 649.
The multiples of 338 343 are all integers evenly divisible by 338 343, that is all numbers such that the remainder of the division by 338 343 is zero. There are infinitely many multiples of 338 343. The smallest multiples of 338 343 are: