107is an odd number,as it is not divisible by 2
The factors for 107 are all the numbers between -107 and 107 , which divide 107 without leaving any remainder. Since 107 divided by -107 is an integer, -107 is a factor of 107 .
Since 107 divided by -107 is a whole number, -107 is a factor of 107
Since 107 divided by -1 is a whole number, -1 is a factor of 107
Since 107 divided by 1 is a whole number, 1 is a factor of 107
Multiples of 107 are all integers divisible by 107 , i.e. the remainder of the full division by 107 is zero. There are infinite multiples of 107. The smallest multiples of 107 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 107 since 0 × 107 = 0
107 : in fact, 107 is a multiple of itself, since 107 is divisible by 107 (it was 107 / 107 = 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 107, the answer is: yes, 107 is a prime number because it only has two different divisors: 1 and itself (107).
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 107). 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 10.344 ). 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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