It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 345 331 is not a prime number.
For example, 345 331 can be divided by 7: 345 331 / 7 = 49 333.
For 345 331 to be a prime number, it would have been required that 345 331 has only two divisors, i.e., itself and 1.
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345 331 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 345 331 is about 587.649.
Thus, the square root of 345 331 is not an integer, and therefore 345 331 is not a square number.
The square of a number (here 345 331) is the result of the product of this number (345 331) by itself (i.e., 345 331 × 345 331); the square of 345 331 is sometimes called "raising 345 331 to the power 2", or "345 331 squared".
The square of 345 331 is 119 253 499 561 because 345 331 × 345 331 = 345 3312 = 119 253 499 561.
As a consequence, 345 331 is the square root of 119 253 499 561.
The multiples of 345 331 are all integers evenly divisible by 345 331, that is all numbers such that the remainder of the division by 345 331 is zero. There are infinitely many multiples of 345 331. The smallest multiples of 345 331 are: