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55009is an odd number,as it is not divisible by 2
The factors for 55009 are all the numbers between -55009 and 55009 , which divide 55009 without leaving any remainder. Since 55009 divided by -55009 is an integer, -55009 is a factor of 55009 .
Since 55009 divided by -55009 is a whole number, -55009 is a factor of 55009
Since 55009 divided by -1 is a whole number, -1 is a factor of 55009
Since 55009 divided by 1 is a whole number, 1 is a factor of 55009
Multiples of 55009 are all integers divisible by 55009 , i.e. the remainder of the full division by 55009 is zero. There are infinite multiples of 55009. The smallest multiples of 55009 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 55009 since 0 × 55009 = 0
55009 : in fact, 55009 is a multiple of itself, since 55009 is divisible by 55009 (it was 55009 / 55009 = 1, so the rest of this division is zero)
110018: in fact, 110018 = 55009 × 2
165027: in fact, 165027 = 55009 × 3
220036: in fact, 220036 = 55009 × 4
275045: in fact, 275045 = 55009 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 55009, the answer is: yes, 55009 is a prime number because it only has two different divisors: 1 and itself (55009).
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 55009). 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 234.54 ). 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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