It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 26 009 is not a prime number.
For example, 26 009 can be divided by 31: 26 009 / 31 = 839.
For 26 009 to be a prime number, it would have been required that 26 009 has only two divisors, i.e., itself and 1.
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26 009 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 26 009 is about 161.273.
Thus, the square root of 26 009 is not an integer, and therefore 26 009 is not a square number.
The square of a number (here 26 009) is the result of the product of this number (26 009) by itself (i.e., 26 009 × 26 009); the square of 26 009 is sometimes called "raising 26 009 to the power 2", or "26 009 squared".
The square of 26 009 is 676 468 081 because 26 009 × 26 009 = 26 0092 = 676 468 081.
As a consequence, 26 009 is the square root of 676 468 081.
The multiples of 26 009 are all integers evenly divisible by 26 009, that is all numbers such that the remainder of the division by 26 009 is zero. There are infinitely many multiples of 26 009. The smallest multiples of 26 009 are: