120997is an odd number,as it is not divisible by 2
The factors for 120997 are all the numbers between -120997 and 120997 , which divide 120997 without leaving any remainder. Since 120997 divided by -120997 is an integer, -120997 is a factor of 120997 .
Since 120997 divided by -120997 is a whole number, -120997 is a factor of 120997
Since 120997 divided by -1 is a whole number, -1 is a factor of 120997
Since 120997 divided by 1 is a whole number, 1 is a factor of 120997
Multiples of 120997 are all integers divisible by 120997 , i.e. the remainder of the full division by 120997 is zero. There are infinite multiples of 120997. The smallest multiples of 120997 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 120997 since 0 × 120997 = 0
120997 : in fact, 120997 is a multiple of itself, since 120997 is divisible by 120997 (it was 120997 / 120997 = 1, so the rest of this division is zero)
241994: in fact, 241994 = 120997 × 2
362991: in fact, 362991 = 120997 × 3
483988: in fact, 483988 = 120997 × 4
604985: in fact, 604985 = 120997 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 120997, the answer is: yes, 120997 is a prime number because it only has two different divisors: 1 and itself (120997).
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 120997). 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 347.846 ). 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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