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3659is an odd number,as it is not divisible by 2
The factors for 3659 are all the numbers between -3659 and 3659 , which divide 3659 without leaving any remainder. Since 3659 divided by -3659 is an integer, -3659 is a factor of 3659 .
Since 3659 divided by -3659 is a whole number, -3659 is a factor of 3659
Since 3659 divided by -1 is a whole number, -1 is a factor of 3659
Since 3659 divided by 1 is a whole number, 1 is a factor of 3659
Multiples of 3659 are all integers divisible by 3659 , i.e. the remainder of the full division by 3659 is zero. There are infinite multiples of 3659. The smallest multiples of 3659 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 3659 since 0 × 3659 = 0
3659 : in fact, 3659 is a multiple of itself, since 3659 is divisible by 3659 (it was 3659 / 3659 = 1, so the rest of this division is zero)
7318: in fact, 7318 = 3659 × 2
10977: in fact, 10977 = 3659 × 3
14636: in fact, 14636 = 3659 × 4
18295: in fact, 18295 = 3659 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 3659, the answer is: yes, 3659 is a prime number because it only has two different divisors: 1 and itself (3659).
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 3659). 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 60.49 ). 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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