120121is an odd number,as it is not divisible by 2
The factors for 120121 are all the numbers between -120121 and 120121 , which divide 120121 without leaving any remainder. Since 120121 divided by -120121 is an integer, -120121 is a factor of 120121 .
Since 120121 divided by -120121 is a whole number, -120121 is a factor of 120121
Since 120121 divided by -1 is a whole number, -1 is a factor of 120121
Since 120121 divided by 1 is a whole number, 1 is a factor of 120121
Multiples of 120121 are all integers divisible by 120121 , i.e. the remainder of the full division by 120121 is zero. There are infinite multiples of 120121. The smallest multiples of 120121 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 120121 since 0 × 120121 = 0
120121 : in fact, 120121 is a multiple of itself, since 120121 is divisible by 120121 (it was 120121 / 120121 = 1, so the rest of this division is zero)
240242: in fact, 240242 = 120121 × 2
360363: in fact, 360363 = 120121 × 3
480484: in fact, 480484 = 120121 × 4
600605: in fact, 600605 = 120121 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 120121, the answer is: yes, 120121 is a prime number because it only has two different divisors: 1 and itself (120121).
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 120121). 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 346.585 ). 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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