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4409is an odd number,as it is not divisible by 2
The factors for 4409 are all the numbers between -4409 and 4409 , which divide 4409 without leaving any remainder. Since 4409 divided by -4409 is an integer, -4409 is a factor of 4409 .
Since 4409 divided by -4409 is a whole number, -4409 is a factor of 4409
Since 4409 divided by -1 is a whole number, -1 is a factor of 4409
Since 4409 divided by 1 is a whole number, 1 is a factor of 4409
Multiples of 4409 are all integers divisible by 4409 , i.e. the remainder of the full division by 4409 is zero. There are infinite multiples of 4409. The smallest multiples of 4409 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 4409 since 0 × 4409 = 0
4409 : in fact, 4409 is a multiple of itself, since 4409 is divisible by 4409 (it was 4409 / 4409 = 1, so the rest of this division is zero)
8818: in fact, 8818 = 4409 × 2
13227: in fact, 13227 = 4409 × 3
17636: in fact, 17636 = 4409 × 4
22045: in fact, 22045 = 4409 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 4409, the answer is: yes, 4409 is a prime number because it only has two different divisors: 1 and itself (4409).
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 4409). 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 66.4 ). 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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