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120871is an odd number,as it is not divisible by 2
The factors for 120871 are all the numbers between -120871 and 120871 , which divide 120871 without leaving any remainder. Since 120871 divided by -120871 is an integer, -120871 is a factor of 120871 .
Since 120871 divided by -120871 is a whole number, -120871 is a factor of 120871
Since 120871 divided by -1 is a whole number, -1 is a factor of 120871
Since 120871 divided by 1 is a whole number, 1 is a factor of 120871
Multiples of 120871 are all integers divisible by 120871 , i.e. the remainder of the full division by 120871 is zero. There are infinite multiples of 120871. The smallest multiples of 120871 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 120871 since 0 × 120871 = 0
120871 : in fact, 120871 is a multiple of itself, since 120871 is divisible by 120871 (it was 120871 / 120871 = 1, so the rest of this division is zero)
241742: in fact, 241742 = 120871 × 2
362613: in fact, 362613 = 120871 × 3
483484: in fact, 483484 = 120871 × 4
604355: in fact, 604355 = 120871 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 120871, the answer is: yes, 120871 is a prime number because it only has two different divisors: 1 and itself (120871).
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 120871). 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 347.665 ). 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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