It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 561 338 is not a prime number.
For example, 561 338 can be divided by 2: 561 338 / 2 = 280 669.
For 561 338 to be a prime number, it would have been required that 561 338 has only two divisors, i.e., itself and 1.
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561 338 is an even number, because it is evenly divisible by 2: 561 338 / 2 = 280 669.
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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 561 338 is about 749.225.
Thus, the square root of 561 338 is not an integer, and therefore 561 338 is not a square number.
The square of a number (here 561 338) is the result of the product of this number (561 338) by itself (i.e., 561 338 × 561 338); the square of 561 338 is sometimes called "raising 561 338 to the power 2", or "561 338 squared".
The square of 561 338 is 315 100 350 244 because 561 338 × 561 338 = 561 3382 = 315 100 350 244.
As a consequence, 561 338 is the square root of 315 100 350 244.
The multiples of 561 338 are all integers evenly divisible by 561 338, that is all numbers such that the remainder of the division by 561 338 is zero. There are infinitely many multiples of 561 338. The smallest multiples of 561 338 are: