43991is an odd number,as it is not divisible by 2
The factors for 43991 are all the numbers between -43991 and 43991 , which divide 43991 without leaving any remainder. Since 43991 divided by -43991 is an integer, -43991 is a factor of 43991 .
Since 43991 divided by -43991 is a whole number, -43991 is a factor of 43991
Since 43991 divided by -1 is a whole number, -1 is a factor of 43991
Since 43991 divided by 1 is a whole number, 1 is a factor of 43991
Multiples of 43991 are all integers divisible by 43991 , i.e. the remainder of the full division by 43991 is zero. There are infinite multiples of 43991. The smallest multiples of 43991 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 43991 since 0 × 43991 = 0
43991 : in fact, 43991 is a multiple of itself, since 43991 is divisible by 43991 (it was 43991 / 43991 = 1, so the rest of this division is zero)
87982: in fact, 87982 = 43991 × 2
131973: in fact, 131973 = 43991 × 3
175964: in fact, 175964 = 43991 × 4
219955: in fact, 219955 = 43991 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 43991, the answer is: yes, 43991 is a prime number because it only has two different divisors: 1 and itself (43991).
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 43991). 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 209.74 ). 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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