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5443is an odd number,as it is not divisible by 2
The factors for 5443 are all the numbers between -5443 and 5443 , which divide 5443 without leaving any remainder. Since 5443 divided by -5443 is an integer, -5443 is a factor of 5443 .
Since 5443 divided by -5443 is a whole number, -5443 is a factor of 5443
Since 5443 divided by -1 is a whole number, -1 is a factor of 5443
Since 5443 divided by 1 is a whole number, 1 is a factor of 5443
Multiples of 5443 are all integers divisible by 5443 , i.e. the remainder of the full division by 5443 is zero. There are infinite multiples of 5443. The smallest multiples of 5443 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 5443 since 0 × 5443 = 0
5443 : in fact, 5443 is a multiple of itself, since 5443 is divisible by 5443 (it was 5443 / 5443 = 1, so the rest of this division is zero)
10886: in fact, 10886 = 5443 × 2
16329: in fact, 16329 = 5443 × 3
21772: in fact, 21772 = 5443 × 4
27215: in fact, 27215 = 5443 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 5443, the answer is: yes, 5443 is a prime number because it only has two different divisors: 1 and itself (5443).
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 5443). 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 73.777 ). 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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