131731is an odd number,as it is not divisible by 2
The factors for 131731 are all the numbers between -131731 and 131731 , which divide 131731 without leaving any remainder. Since 131731 divided by -131731 is an integer, -131731 is a factor of 131731 .
Since 131731 divided by -131731 is a whole number, -131731 is a factor of 131731
Since 131731 divided by -1 is a whole number, -1 is a factor of 131731
Since 131731 divided by 1 is a whole number, 1 is a factor of 131731
Multiples of 131731 are all integers divisible by 131731 , i.e. the remainder of the full division by 131731 is zero. There are infinite multiples of 131731. The smallest multiples of 131731 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 131731 since 0 × 131731 = 0
131731 : in fact, 131731 is a multiple of itself, since 131731 is divisible by 131731 (it was 131731 / 131731 = 1, so the rest of this division is zero)
263462: in fact, 263462 = 131731 × 2
395193: in fact, 395193 = 131731 × 3
526924: in fact, 526924 = 131731 × 4
658655: in fact, 658655 = 131731 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 131731, the answer is: yes, 131731 is a prime number because it only has two different divisors: 1 and itself (131731).
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 131731). 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 362.948 ). 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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