1601is an odd number,as it is not divisible by 2
The factors for 1601 are all the numbers between -1601 and 1601 , which divide 1601 without leaving any remainder. Since 1601 divided by -1601 is an integer, -1601 is a factor of 1601 .
Since 1601 divided by -1601 is a whole number, -1601 is a factor of 1601
Since 1601 divided by -1 is a whole number, -1 is a factor of 1601
Multiples of 1601 are all integers divisible by 1601 , i.e. the remainder of the full division by 1601 is zero. There are infinite multiples of 1601. The smallest multiples of 1601 are:
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 1601, the answer is: yes, 1601 is a prime number because it only has two different divisors: 1 and itself (1601).
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 1601). 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 40.012 ). 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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