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1613is an odd number,as it is not divisible by 2
The factors for 1613 are all the numbers between -1613 and 1613 , which divide 1613 without leaving any remainder. Since 1613 divided by -1613 is an integer, -1613 is a factor of 1613 .
Since 1613 divided by -1613 is a whole number, -1613 is a factor of 1613
Since 1613 divided by -1 is a whole number, -1 is a factor of 1613
Since 1613 divided by 1 is a whole number, 1 is a factor of 1613
Multiples of 1613 are all integers divisible by 1613 , i.e. the remainder of the full division by 1613 is zero. There are infinite multiples of 1613. The smallest multiples of 1613 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 1613 since 0 × 1613 = 0
1613 : in fact, 1613 is a multiple of itself, since 1613 is divisible by 1613 (it was 1613 / 1613 = 1, so the rest of this division is zero)
3226: in fact, 3226 = 1613 × 2
4839: in fact, 4839 = 1613 × 3
6452: in fact, 6452 = 1613 × 4
8065: in fact, 8065 = 1613 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 1613, the answer is: yes, 1613 is a prime number because it only has two different divisors: 1 and itself (1613).
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 1613). 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 40.162 ). 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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