The list of all positive divisors (that is, the list of all integers that divide 22) is as follows :
1005 is multiplo of 1
1005 is multiplo of 3
1005 is multiplo of 5
1005 is multiplo of 15
1005 is multiplo of 67
1005 is multiplo of 201
1005 is multiplo of 335
1005 has 7 positive divisors
1005is an odd number,as it is not divisible by 2
The factors for 1005 are all the numbers between -1005 and 1005 , which divide 1005 without leaving any remainder. Since 1005 divided by -1005 is an integer, -1005 is a factor of 1005 .
Since 1005 divided by -1005 is a whole number, -1005 is a factor of 1005
Since 1005 divided by -335 is a whole number, -335 is a factor of 1005
Since 1005 divided by -201 is a whole number, -201 is a factor of 1005
Since 1005 divided by -67 is a whole number, -67 is a factor of 1005
Since 1005 divided by -15 is a whole number, -15 is a factor of 1005
Since 1005 divided by -5 is a whole number, -5 is a factor of 1005
Since 1005 divided by -3 is a whole number, -3 is a factor of 1005
Since 1005 divided by -1 is a whole number, -1 is a factor of 1005
Multiples of 1005 are all integers divisible by 1005 , i.e. the remainder of the full division by 1005 is zero. There are infinite multiples of 1005. The smallest multiples of 1005 are:
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 1005, the answer is: No, 1005 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 1005). 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 31.702 ). 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.
Previous prime number: 997
Next prime number: 1009