120877is an odd number,as it is not divisible by 2
The factors for 120877 are all the numbers between -120877 and 120877 , which divide 120877 without leaving any remainder. Since 120877 divided by -120877 is an integer, -120877 is a factor of 120877 .
Since 120877 divided by -120877 is a whole number, -120877 is a factor of 120877
Since 120877 divided by -1 is a whole number, -1 is a factor of 120877
Since 120877 divided by 1 is a whole number, 1 is a factor of 120877
Multiples of 120877 are all integers divisible by 120877 , i.e. the remainder of the full division by 120877 is zero. There are infinite multiples of 120877. The smallest multiples of 120877 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 120877 since 0 × 120877 = 0
120877 : in fact, 120877 is a multiple of itself, since 120877 is divisible by 120877 (it was 120877 / 120877 = 1, so the rest of this division is zero)
241754: in fact, 241754 = 120877 × 2
362631: in fact, 362631 = 120877 × 3
483508: in fact, 483508 = 120877 × 4
604385: in fact, 604385 = 120877 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 120877, the answer is: yes, 120877 is a prime number because it only has two different divisors: 1 and itself (120877).
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 120877). 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 347.674 ). 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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