It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 343 003 is not a prime number.
For example, 343 003 can be divided by 61: 343 003 / 61 = 5 623.
For 343 003 to be a prime number, it would have been required that 343 003 has only two divisors, i.e., itself and 1.
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343 003 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 343 003 is about 585.665.
Thus, the square root of 343 003 is not an integer, and therefore 343 003 is not a square number.
The square of a number (here 343 003) is the result of the product of this number (343 003) by itself (i.e., 343 003 × 343 003); the square of 343 003 is sometimes called "raising 343 003 to the power 2", or "343 003 squared".
The square of 343 003 is 117 651 058 009 because 343 003 × 343 003 = 343 0032 = 117 651 058 009.
As a consequence, 343 003 is the square root of 117 651 058 009.
The multiples of 343 003 are all integers evenly divisible by 343 003, that is all numbers such that the remainder of the division by 343 003 is zero. There are infinitely many multiples of 343 003. The smallest multiples of 343 003 are: