It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 13 909 is not a prime number.
For example, 13 909 can be divided by 7: 13 909 / 7 = 1 987.
For 13 909 to be a prime number, it would have been required that 13 909 has only two divisors, i.e., itself and 1.
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13 909 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 13 909 is about 117.936.
Thus, the square root of 13 909 is not an integer, and therefore 13 909 is not a square number.
The square of a number (here 13 909) is the result of the product of this number (13 909) by itself (i.e., 13 909 × 13 909); the square of 13 909 is sometimes called "raising 13 909 to the power 2", or "13 909 squared".
The square of 13 909 is 193 460 281 because 13 909 × 13 909 = 13 9092 = 193 460 281.
As a consequence, 13 909 is the square root of 193 460 281.
The multiples of 13 909 are all integers evenly divisible by 13 909, that is all numbers such that the remainder of the division by 13 909 is zero. There are infinitely many multiples of 13 909. The smallest multiples of 13 909 are: