The list of all positive divisors (that is, the list of all integers that divide 22) is as follows :
Accordingly:
4002 is multiplo of 1
4002 is multiplo of 2
4002 is multiplo of 3
4002 is multiplo of 6
4002 is multiplo of 23
4002 is multiplo of 29
4002 is multiplo of 46
4002 is multiplo of 58
4002 is multiplo of 69
4002 is multiplo of 87
4002 is multiplo of 138
4002 is multiplo of 174
4002 is multiplo of 667
4002 is multiplo of 1334
4002 is multiplo of 2001
4002 has 15 positive divisors
In addition we can say of the number 4002 that it is even
4002 is an even number, as it is divisible by 2 : 4002/2 = 2001
The factors for 4002 are all the numbers between -4002 and 4002 , which divide 4002 without leaving any remainder. Since 4002 divided by -4002 is an integer, -4002 is a factor of 4002 .
Since 4002 divided by -4002 is a whole number, -4002 is a factor of 4002
Since 4002 divided by -2001 is a whole number, -2001 is a factor of 4002
Since 4002 divided by -1334 is a whole number, -1334 is a factor of 4002
Since 4002 divided by -667 is a whole number, -667 is a factor of 4002
Since 4002 divided by -174 is a whole number, -174 is a factor of 4002
Since 4002 divided by -138 is a whole number, -138 is a factor of 4002
Since 4002 divided by -87 is a whole number, -87 is a factor of 4002
Since 4002 divided by -69 is a whole number, -69 is a factor of 4002
Since 4002 divided by -58 is a whole number, -58 is a factor of 4002
Since 4002 divided by -46 is a whole number, -46 is a factor of 4002
Since 4002 divided by -29 is a whole number, -29 is a factor of 4002
Since 4002 divided by -23 is a whole number, -23 is a factor of 4002
Since 4002 divided by -6 is a whole number, -6 is a factor of 4002
Since 4002 divided by -3 is a whole number, -3 is a factor of 4002
Since 4002 divided by -2 is a whole number, -2 is a factor of 4002
Since 4002 divided by -1 is a whole number, -1 is a factor of 4002
Since 4002 divided by 1 is a whole number, 1 is a factor of 4002
Since 4002 divided by 2 is a whole number, 2 is a factor of 4002
Since 4002 divided by 3 is a whole number, 3 is a factor of 4002
Since 4002 divided by 6 is a whole number, 6 is a factor of 4002
Since 4002 divided by 23 is a whole number, 23 is a factor of 4002
Since 4002 divided by 29 is a whole number, 29 is a factor of 4002
Since 4002 divided by 46 is a whole number, 46 is a factor of 4002
Since 4002 divided by 58 is a whole number, 58 is a factor of 4002
Since 4002 divided by 69 is a whole number, 69 is a factor of 4002
Since 4002 divided by 87 is a whole number, 87 is a factor of 4002
Since 4002 divided by 138 is a whole number, 138 is a factor of 4002
Since 4002 divided by 174 is a whole number, 174 is a factor of 4002
Since 4002 divided by 667 is a whole number, 667 is a factor of 4002
Since 4002 divided by 1334 is a whole number, 1334 is a factor of 4002
Since 4002 divided by 2001 is a whole number, 2001 is a factor of 4002
Multiples of 4002 are all integers divisible by 4002 , i.e. the remainder of the full division by 4002 is zero. There are infinite multiples of 4002. The smallest multiples of 4002 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 4002 since 0 × 4002 = 0
4002 : in fact, 4002 is a multiple of itself, since 4002 is divisible by 4002 (it was 4002 / 4002 = 1, so the rest of this division is zero)
8004: in fact, 8004 = 4002 × 2
12006: in fact, 12006 = 4002 × 3
16008: in fact, 16008 = 4002 × 4
20010: in fact, 20010 = 4002 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 4002, the answer is: No, 4002 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 4002). 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 63.261 ). 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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