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5441is an odd number,as it is not divisible by 2
The factors for 5441 are all the numbers between -5441 and 5441 , which divide 5441 without leaving any remainder. Since 5441 divided by -5441 is an integer, -5441 is a factor of 5441 .
Since 5441 divided by -5441 is a whole number, -5441 is a factor of 5441
Since 5441 divided by -1 is a whole number, -1 is a factor of 5441
Since 5441 divided by 1 is a whole number, 1 is a factor of 5441
Multiples of 5441 are all integers divisible by 5441 , i.e. the remainder of the full division by 5441 is zero. There are infinite multiples of 5441. The smallest multiples of 5441 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 5441 since 0 × 5441 = 0
5441 : in fact, 5441 is a multiple of itself, since 5441 is divisible by 5441 (it was 5441 / 5441 = 1, so the rest of this division is zero)
10882: in fact, 10882 = 5441 × 2
16323: in fact, 16323 = 5441 × 3
21764: in fact, 21764 = 5441 × 4
27205: in fact, 27205 = 5441 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 5441, the answer is: yes, 5441 is a prime number because it only has two different divisors: 1 and itself (5441).
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 5441). 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 73.763 ). 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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