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3559is an odd number,as it is not divisible by 2
The factors for 3559 are all the numbers between -3559 and 3559 , which divide 3559 without leaving any remainder. Since 3559 divided by -3559 is an integer, -3559 is a factor of 3559 .
Since 3559 divided by -3559 is a whole number, -3559 is a factor of 3559
Since 3559 divided by -1 is a whole number, -1 is a factor of 3559
Since 3559 divided by 1 is a whole number, 1 is a factor of 3559
Multiples of 3559 are all integers divisible by 3559 , i.e. the remainder of the full division by 3559 is zero. There are infinite multiples of 3559. The smallest multiples of 3559 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 3559 since 0 × 3559 = 0
3559 : in fact, 3559 is a multiple of itself, since 3559 is divisible by 3559 (it was 3559 / 3559 = 1, so the rest of this division is zero)
7118: in fact, 7118 = 3559 × 2
10677: in fact, 10677 = 3559 × 3
14236: in fact, 14236 = 3559 × 4
17795: in fact, 17795 = 3559 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 3559, the answer is: yes, 3559 is a prime number because it only has two different divisors: 1 and itself (3559).
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 3559). 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 59.657 ). 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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