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131is an odd number,as it is not divisible by 2
The factors for 131 are all the numbers between -131 and 131 , which divide 131 without leaving any remainder. Since 131 divided by -131 is an integer, -131 is a factor of 131 .
Since 131 divided by -131 is a whole number, -131 is a factor of 131
Since 131 divided by -1 is a whole number, -1 is a factor of 131
Since 131 divided by 1 is a whole number, 1 is a factor of 131
Multiples of 131 are all integers divisible by 131 , i.e. the remainder of the full division by 131 is zero. There are infinite multiples of 131. The smallest multiples of 131 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 131 since 0 × 131 = 0
131 : in fact, 131 is a multiple of itself, since 131 is divisible by 131 (it was 131 / 131 = 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 131, the answer is: yes, 131 is a prime number because it only has two different divisors: 1 and itself (131).
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 131). 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 11.446 ). 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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