120907is an odd number,as it is not divisible by 2
The factors for 120907 are all the numbers between -120907 and 120907 , which divide 120907 without leaving any remainder. Since 120907 divided by -120907 is an integer, -120907 is a factor of 120907 .
Since 120907 divided by -120907 is a whole number, -120907 is a factor of 120907
Since 120907 divided by -1 is a whole number, -1 is a factor of 120907
Since 120907 divided by 1 is a whole number, 1 is a factor of 120907
Multiples of 120907 are all integers divisible by 120907 , i.e. the remainder of the full division by 120907 is zero. There are infinite multiples of 120907. The smallest multiples of 120907 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 120907 since 0 × 120907 = 0
120907 : in fact, 120907 is a multiple of itself, since 120907 is divisible by 120907 (it was 120907 / 120907 = 1, so the rest of this division is zero)
241814: in fact, 241814 = 120907 × 2
362721: in fact, 362721 = 120907 × 3
483628: in fact, 483628 = 120907 × 4
604535: in fact, 604535 = 120907 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 120907, the answer is: yes, 120907 is a prime number because it only has two different divisors: 1 and itself (120907).
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 120907). 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 347.717 ). 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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