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In addition we can say of the number 17002 that it is even
17002 is an even number, as it is divisible by 2 : 17002/2 = 8501
The factors for 17002 are all the numbers between -17002 and 17002 , which divide 17002 without leaving any remainder. Since 17002 divided by -17002 is an integer, -17002 is a factor of 17002 .
Since 17002 divided by -17002 is a whole number, -17002 is a factor of 17002
Since 17002 divided by -8501 is a whole number, -8501 is a factor of 17002
Since 17002 divided by -2 is a whole number, -2 is a factor of 17002
Since 17002 divided by -1 is a whole number, -1 is a factor of 17002
Since 17002 divided by 1 is a whole number, 1 is a factor of 17002
Since 17002 divided by 2 is a whole number, 2 is a factor of 17002
Since 17002 divided by 8501 is a whole number, 8501 is a factor of 17002
Multiples of 17002 are all integers divisible by 17002 , i.e. the remainder of the full division by 17002 is zero. There are infinite multiples of 17002. The smallest multiples of 17002 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 17002 since 0 × 17002 = 0
17002 : in fact, 17002 is a multiple of itself, since 17002 is divisible by 17002 (it was 17002 / 17002 = 1, so the rest of this division is zero)
34004: in fact, 34004 = 17002 × 2
51006: in fact, 51006 = 17002 × 3
68008: in fact, 68008 = 17002 × 4
85010: in fact, 85010 = 17002 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 17002, the answer is: No, 17002 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 17002). 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 130.392 ). 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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