Divisors of 8009
Parity of 8009
8009is an odd number,as it is not divisible by 2
The factors for 8009
The factors for 8009 are all the numbers between -8009 and 8009 , which divide 8009 without leaving any remainder. Since 8009 divided by -8009 is an integer, -8009 is a factor of 8009 .
Since 8009 divided by -8009 is a whole number, -8009 is a factor of 8009
Since 8009 divided by -1 is a whole number, -1 is a factor of 8009
Since 8009 divided by 1 is a whole number, 1 is a factor of 8009
What are the multiples of 8009?
Multiples of 8009 are all integers divisible by 8009 , i.e. the remainder of the full division by 8009 is zero. There are infinite multiples of 8009. The smallest multiples of 8009 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 8009 since 0 × 8009 = 0
8009 : in fact, 8009 is a multiple of itself, since 8009 is divisible by 8009 (it was 8009 / 8009 = 1, so the rest of this division is zero)
16018: in fact, 16018 = 8009 × 2
24027: in fact, 24027 = 8009 × 3
32036: in fact, 32036 = 8009 × 4
40045: in fact, 40045 = 8009 × 5
etc.
Is 8009 a prime number?
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 8009, the answer is: yes, 8009 is a prime number because it only has two different divisors: 1 and itself (8009).
How do you determine if a number is prime?
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 8009). 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 89.493 ). 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.
Numbers about 8009
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Prime numbers closer to 8009
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