113is an odd number,as it is not divisible by 2
The factors for 113 are all the numbers between -113 and 113 , which divide 113 without leaving any remainder. Since 113 divided by -113 is an integer, -113 is a factor of 113 .
Since 113 divided by -113 is a whole number, -113 is a factor of 113
Since 113 divided by -1 is a whole number, -1 is a factor of 113
Multiples of 113 are all integers divisible by 113 , i.e. the remainder of the full division by 113 is zero. There are infinite multiples of 113. The smallest multiples of 113 are:
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 113, the answer is: yes, 113 is a prime number because it only has two different divisors: 1 and itself (113).
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 113). 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 10.63 ). 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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Next prime number: 127