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3671is an odd number,as it is not divisible by 2
The factors for 3671 are all the numbers between -3671 and 3671 , which divide 3671 without leaving any remainder. Since 3671 divided by -3671 is an integer, -3671 is a factor of 3671 .
Since 3671 divided by -3671 is a whole number, -3671 is a factor of 3671
Since 3671 divided by -1 is a whole number, -1 is a factor of 3671
Since 3671 divided by 1 is a whole number, 1 is a factor of 3671
Multiples of 3671 are all integers divisible by 3671 , i.e. the remainder of the full division by 3671 is zero. There are infinite multiples of 3671. The smallest multiples of 3671 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 3671 since 0 × 3671 = 0
3671 : in fact, 3671 is a multiple of itself, since 3671 is divisible by 3671 (it was 3671 / 3671 = 1, so the rest of this division is zero)
7342: in fact, 7342 = 3671 × 2
11013: in fact, 11013 = 3671 × 3
14684: in fact, 14684 = 3671 × 4
18355: in fact, 18355 = 3671 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 3671, the answer is: yes, 3671 is a prime number because it only has two different divisors: 1 and itself (3671).
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 3671). 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 60.589 ). 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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