It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 12 709 is not a prime number.
For example, 12 709 can be divided by 71: 12 709 / 71 = 179.
For 12 709 to be a prime number, it would have been required that 12 709 has only two divisors, i.e., itself and 1.
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12 709 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 12 709 is about 112.734.
Thus, the square root of 12 709 is not an integer, and therefore 12 709 is not a square number.
The square of a number (here 12 709) is the result of the product of this number (12 709) by itself (i.e., 12 709 × 12 709); the square of 12 709 is sometimes called "raising 12 709 to the power 2", or "12 709 squared".
The square of 12 709 is 161 518 681 because 12 709 × 12 709 = 12 7092 = 161 518 681.
As a consequence, 12 709 is the square root of 161 518 681.
The multiples of 12 709 are all integers evenly divisible by 12 709, that is all numbers such that the remainder of the division by 12 709 is zero. There are infinitely many multiples of 12 709. The smallest multiples of 12 709 are: