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120977is an odd number,as it is not divisible by 2
The factors for 120977 are all the numbers between -120977 and 120977 , which divide 120977 without leaving any remainder. Since 120977 divided by -120977 is an integer, -120977 is a factor of 120977 .
Since 120977 divided by -120977 is a whole number, -120977 is a factor of 120977
Since 120977 divided by -1 is a whole number, -1 is a factor of 120977
Since 120977 divided by 1 is a whole number, 1 is a factor of 120977
Multiples of 120977 are all integers divisible by 120977 , i.e. the remainder of the full division by 120977 is zero. There are infinite multiples of 120977. The smallest multiples of 120977 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 120977 since 0 × 120977 = 0
120977 : in fact, 120977 is a multiple of itself, since 120977 is divisible by 120977 (it was 120977 / 120977 = 1, so the rest of this division is zero)
241954: in fact, 241954 = 120977 × 2
362931: in fact, 362931 = 120977 × 3
483908: in fact, 483908 = 120977 × 4
604885: in fact, 604885 = 120977 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 120977, the answer is: yes, 120977 is a prime number because it only has two different divisors: 1 and itself (120977).
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 120977). 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 347.817 ). 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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