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The list of all positive divisors (that is, the list of all integers that divide 22) is as follows :
Accordingly:
1989 is multiplo of 1
1989 is multiplo of 3
1989 is multiplo of 9
1989 is multiplo of 13
1989 is multiplo of 17
1989 is multiplo of 39
1989 is multiplo of 51
1989 is multiplo of 117
1989 is multiplo of 153
1989 is multiplo of 221
1989 is multiplo of 663
1989 has 11 positive divisors
1989is an odd number,as it is not divisible by 2
The factors for 1989 are all the numbers between -1989 and 1989 , which divide 1989 without leaving any remainder. Since 1989 divided by -1989 is an integer, -1989 is a factor of 1989 .
Since 1989 divided by -1989 is a whole number, -1989 is a factor of 1989
Since 1989 divided by -663 is a whole number, -663 is a factor of 1989
Since 1989 divided by -221 is a whole number, -221 is a factor of 1989
Since 1989 divided by -153 is a whole number, -153 is a factor of 1989
Since 1989 divided by -117 is a whole number, -117 is a factor of 1989
Since 1989 divided by -51 is a whole number, -51 is a factor of 1989
Since 1989 divided by -39 is a whole number, -39 is a factor of 1989
Since 1989 divided by -17 is a whole number, -17 is a factor of 1989
Since 1989 divided by -13 is a whole number, -13 is a factor of 1989
Since 1989 divided by -9 is a whole number, -9 is a factor of 1989
Since 1989 divided by -3 is a whole number, -3 is a factor of 1989
Since 1989 divided by -1 is a whole number, -1 is a factor of 1989
Since 1989 divided by 1 is a whole number, 1 is a factor of 1989
Since 1989 divided by 3 is a whole number, 3 is a factor of 1989
Since 1989 divided by 9 is a whole number, 9 is a factor of 1989
Since 1989 divided by 13 is a whole number, 13 is a factor of 1989
Since 1989 divided by 17 is a whole number, 17 is a factor of 1989
Since 1989 divided by 39 is a whole number, 39 is a factor of 1989
Since 1989 divided by 51 is a whole number, 51 is a factor of 1989
Since 1989 divided by 117 is a whole number, 117 is a factor of 1989
Since 1989 divided by 153 is a whole number, 153 is a factor of 1989
Since 1989 divided by 221 is a whole number, 221 is a factor of 1989
Since 1989 divided by 663 is a whole number, 663 is a factor of 1989
Multiples of 1989 are all integers divisible by 1989 , i.e. the remainder of the full division by 1989 is zero. There are infinite multiples of 1989. The smallest multiples of 1989 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 1989 since 0 × 1989 = 0
1989 : in fact, 1989 is a multiple of itself, since 1989 is divisible by 1989 (it was 1989 / 1989 = 1, so the rest of this division is zero)
3978: in fact, 3978 = 1989 × 2
5967: in fact, 5967 = 1989 × 3
7956: in fact, 7956 = 1989 × 4
9945: in fact, 9945 = 1989 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 1989, the answer is: No, 1989 is not a prime number.
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 1989). 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 44.598 ). 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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