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In addition we can say of the number 21002 that it is even
21002 is an even number, as it is divisible by 2 : 21002/2 = 10501
The factors for 21002 are all the numbers between -21002 and 21002 , which divide 21002 without leaving any remainder. Since 21002 divided by -21002 is an integer, -21002 is a factor of 21002 .
Since 21002 divided by -21002 is a whole number, -21002 is a factor of 21002
Since 21002 divided by -10501 is a whole number, -10501 is a factor of 21002
Since 21002 divided by -2 is a whole number, -2 is a factor of 21002
Since 21002 divided by -1 is a whole number, -1 is a factor of 21002
Since 21002 divided by 1 is a whole number, 1 is a factor of 21002
Since 21002 divided by 2 is a whole number, 2 is a factor of 21002
Since 21002 divided by 10501 is a whole number, 10501 is a factor of 21002
Multiples of 21002 are all integers divisible by 21002 , i.e. the remainder of the full division by 21002 is zero. There are infinite multiples of 21002. The smallest multiples of 21002 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 21002 since 0 × 21002 = 0
21002 : in fact, 21002 is a multiple of itself, since 21002 is divisible by 21002 (it was 21002 / 21002 = 1, so the rest of this division is zero)
42004: in fact, 42004 = 21002 × 2
63006: in fact, 63006 = 21002 × 3
84008: in fact, 84008 = 21002 × 4
105010: in fact, 105010 = 21002 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 21002, the answer is: No, 21002 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 21002). 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 144.921 ). 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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