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In addition we can say of the number 122 that it is even
122 is an even number, as it is divisible by 2 : 122/2 = 61
The factors for 122 are all the numbers between -122 and 122 , which divide 122 without leaving any remainder. Since 122 divided by -122 is an integer, -122 is a factor of 122 .
Since 122 divided by -122 is a whole number, -122 is a factor of 122
Since 122 divided by -61 is a whole number, -61 is a factor of 122
Since 122 divided by -2 is a whole number, -2 is a factor of 122
Since 122 divided by -1 is a whole number, -1 is a factor of 122
Since 122 divided by 1 is a whole number, 1 is a factor of 122
Since 122 divided by 2 is a whole number, 2 is a factor of 122
Since 122 divided by 61 is a whole number, 61 is a factor of 122
Multiples of 122 are all integers divisible by 122 , i.e. the remainder of the full division by 122 is zero. There are infinite multiples of 122. The smallest multiples of 122 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 122 since 0 × 122 = 0
122 : in fact, 122 is a multiple of itself, since 122 is divisible by 122 (it was 122 / 122 = 1, so the rest of this division is zero)
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 122, the answer is: No, 122 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 122). 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 11.045 ). 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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