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443is an odd number,as it is not divisible by 2
The factors for 443 are all the numbers between -443 and 443 , which divide 443 without leaving any remainder. Since 443 divided by -443 is an integer, -443 is a factor of 443 .
Since 443 divided by -443 is a whole number, -443 is a factor of 443
Since 443 divided by -1 is a whole number, -1 is a factor of 443
Since 443 divided by 1 is a whole number, 1 is a factor of 443
Multiples of 443 are all integers divisible by 443 , i.e. the remainder of the full division by 443 is zero. There are infinite multiples of 443. The smallest multiples of 443 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 443 since 0 × 443 = 0
443 : in fact, 443 is a multiple of itself, since 443 is divisible by 443 (it was 443 / 443 = 1, so the rest of this division is zero)
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 443, the answer is: yes, 443 is a prime number because it only has two different divisors: 1 and itself (443).
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 443). 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 21.048 ). 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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