121is an odd number,as it is not divisible by 2
The factors for 121 are all the numbers between -121 and 121 , which divide 121 without leaving any remainder. Since 121 divided by -121 is an integer, -121 is a factor of 121 .
Since 121 divided by -121 is a whole number, -121 is a factor of 121
Since 121 divided by -11 is a whole number, -11 is a factor of 121
Since 121 divided by -1 is a whole number, -1 is a factor of 121
Since 121 divided by 1 is a whole number, 1 is a factor of 121
Since 121 divided by 11 is a whole number, 11 is a factor of 121
Multiples of 121 are all integers divisible by 121 , i.e. the remainder of the full division by 121 is zero. There are infinite multiples of 121. The smallest multiples of 121 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 121 since 0 × 121 = 0
121 : in fact, 121 is a multiple of itself, since 121 is divisible by 121 (it was 121 / 121 = 1, so the rest of this division is zero)
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 121, the answer is: No, 121 is not a prime number.
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 121). 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 11 ). 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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