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1559is an odd number,as it is not divisible by 2
The factors for 1559 are all the numbers between -1559 and 1559 , which divide 1559 without leaving any remainder. Since 1559 divided by -1559 is an integer, -1559 is a factor of 1559 .
Since 1559 divided by -1559 is a whole number, -1559 is a factor of 1559
Since 1559 divided by -1 is a whole number, -1 is a factor of 1559
Since 1559 divided by 1 is a whole number, 1 is a factor of 1559
Multiples of 1559 are all integers divisible by 1559 , i.e. the remainder of the full division by 1559 is zero. There are infinite multiples of 1559. The smallest multiples of 1559 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 1559 since 0 × 1559 = 0
1559 : in fact, 1559 is a multiple of itself, since 1559 is divisible by 1559 (it was 1559 / 1559 = 1, so the rest of this division is zero)
3118: in fact, 3118 = 1559 × 2
4677: in fact, 4677 = 1559 × 3
6236: in fact, 6236 = 1559 × 4
7795: in fact, 7795 = 1559 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 1559, the answer is: yes, 1559 is a prime number because it only has two different divisors: 1 and itself (1559).
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 1559). 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 39.484 ). 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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