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20443is an odd number,as it is not divisible by 2
The factors for 20443 are all the numbers between -20443 and 20443 , which divide 20443 without leaving any remainder. Since 20443 divided by -20443 is an integer, -20443 is a factor of 20443 .
Since 20443 divided by -20443 is a whole number, -20443 is a factor of 20443
Since 20443 divided by -1 is a whole number, -1 is a factor of 20443
Since 20443 divided by 1 is a whole number, 1 is a factor of 20443
Multiples of 20443 are all integers divisible by 20443 , i.e. the remainder of the full division by 20443 is zero. There are infinite multiples of 20443. The smallest multiples of 20443 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 20443 since 0 × 20443 = 0
20443 : in fact, 20443 is a multiple of itself, since 20443 is divisible by 20443 (it was 20443 / 20443 = 1, so the rest of this division is zero)
40886: in fact, 40886 = 20443 × 2
61329: in fact, 61329 = 20443 × 3
81772: in fact, 81772 = 20443 × 4
102215: in fact, 102215 = 20443 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 20443, the answer is: yes, 20443 is a prime number because it only has two different divisors: 1 and itself (20443).
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 20443). 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 142.979 ). 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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