Divisors of 10009
Parity of 10009
10009is an odd number,as it is not divisible by 2
The factors for 10009
The factors for 10009 are all the numbers between -10009 and 10009 , which divide 10009 without leaving any remainder. Since 10009 divided by -10009 is an integer, -10009 is a factor of 10009 .
Since 10009 divided by -10009 is a whole number, -10009 is a factor of 10009
Since 10009 divided by -1 is a whole number, -1 is a factor of 10009
Since 10009 divided by 1 is a whole number, 1 is a factor of 10009
What are the multiples of 10009?
Multiples of 10009 are all integers divisible by 10009 , i.e. the remainder of the full division by 10009 is zero. There are infinite multiples of 10009. The smallest multiples of 10009 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 10009 since 0 × 10009 = 0
10009 : in fact, 10009 is a multiple of itself, since 10009 is divisible by 10009 (it was 10009 / 10009 = 1, so the rest of this division is zero)
20018: in fact, 20018 = 10009 × 2
30027: in fact, 30027 = 10009 × 3
40036: in fact, 40036 = 10009 × 4
50045: in fact, 50045 = 10009 × 5
etc.
Is 10009 a prime number?
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 10009, the answer is: yes, 10009 is a prime number because it only has two different divisors: 1 and itself (10009).
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 10009). 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 100.045 ). 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 10009
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Prime numbers closer to 10009
Previous prime number: 10007
Next prime number: 10037