6009is an odd number,as it is not divisible by 2
The factors for 6009 are all the numbers between -6009 and 6009 , which divide 6009 without leaving any remainder. Since 6009 divided by -6009 is an integer, -6009 is a factor of 6009 .
Since 6009 divided by -6009 is a whole number, -6009 is a factor of 6009
Since 6009 divided by -2003 is a whole number, -2003 is a factor of 6009
Since 6009 divided by -3 is a whole number, -3 is a factor of 6009
Since 6009 divided by -1 is a whole number, -1 is a factor of 6009
Since 6009 divided by 1 is a whole number, 1 is a factor of 6009
Since 6009 divided by 3 is a whole number, 3 is a factor of 6009
Since 6009 divided by 2003 is a whole number, 2003 is a factor of 6009
Multiples of 6009 are all integers divisible by 6009 , i.e. the remainder of the full division by 6009 is zero. There are infinite multiples of 6009. The smallest multiples of 6009 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 6009 since 0 × 6009 = 0
6009 : in fact, 6009 is a multiple of itself, since 6009 is divisible by 6009 (it was 6009 / 6009 = 1, so the rest of this division is zero)
12018: in fact, 12018 = 6009 × 2
18027: in fact, 18027 = 6009 × 3
24036: in fact, 24036 = 6009 × 4
30045: in fact, 30045 = 6009 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 6009, the answer is: No, 6009 is not a prime number.
To know the primality of an integer, we can use several algorithms. The most naive is to try all divisors below the number you want to know if it is prime (in our case 6009). We can already eliminate even numbers bigger than 2 (then 4 , 6 , 8 ...). Besides, we can stop at the square root of the number in question (here 77.518 ). Historically, the Eratosthenes screen (which dates back to Antiquity) uses this technique relatively effectively.
More modern techniques include the Atkin screen, probabilistic tests, or the cyclotomic test.
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