120691is an odd number,as it is not divisible by 2
The factors for 120691 are all the numbers between -120691 and 120691 , which divide 120691 without leaving any remainder. Since 120691 divided by -120691 is an integer, -120691 is a factor of 120691 .
Since 120691 divided by -120691 is a whole number, -120691 is a factor of 120691
Since 120691 divided by -1 is a whole number, -1 is a factor of 120691
Since 120691 divided by 1 is a whole number, 1 is a factor of 120691
Multiples of 120691 are all integers divisible by 120691 , i.e. the remainder of the full division by 120691 is zero. There are infinite multiples of 120691. The smallest multiples of 120691 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 120691 since 0 × 120691 = 0
120691 : in fact, 120691 is a multiple of itself, since 120691 is divisible by 120691 (it was 120691 / 120691 = 1, so the rest of this division is zero)
241382: in fact, 241382 = 120691 × 2
362073: in fact, 362073 = 120691 × 3
482764: in fact, 482764 = 120691 × 4
603455: in fact, 603455 = 120691 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 120691, the answer is: yes, 120691 is a prime number because it only has two different divisors: 1 and itself (120691).
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 120691). 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 347.406 ). 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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