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43997is an odd number,as it is not divisible by 2
The factors for 43997 are all the numbers between -43997 and 43997 , which divide 43997 without leaving any remainder. Since 43997 divided by -43997 is an integer, -43997 is a factor of 43997 .
Since 43997 divided by -43997 is a whole number, -43997 is a factor of 43997
Since 43997 divided by -1 is a whole number, -1 is a factor of 43997
Since 43997 divided by 1 is a whole number, 1 is a factor of 43997
Multiples of 43997 are all integers divisible by 43997 , i.e. the remainder of the full division by 43997 is zero. There are infinite multiples of 43997. The smallest multiples of 43997 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 43997 since 0 × 43997 = 0
43997 : in fact, 43997 is a multiple of itself, since 43997 is divisible by 43997 (it was 43997 / 43997 = 1, so the rest of this division is zero)
87994: in fact, 87994 = 43997 × 2
131991: in fact, 131991 = 43997 × 3
175988: in fact, 175988 = 43997 × 4
219985: in fact, 219985 = 43997 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 43997, the answer is: yes, 43997 is a prime number because it only has two different divisors: 1 and itself (43997).
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 43997). 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 209.755 ). 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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