5231is an odd number,as it is not divisible by 2
The factors for 5231 are all the numbers between -5231 and 5231 , which divide 5231 without leaving any remainder. Since 5231 divided by -5231 is an integer, -5231 is a factor of 5231 .
Since 5231 divided by -5231 is a whole number, -5231 is a factor of 5231
Since 5231 divided by -1 is a whole number, -1 is a factor of 5231
Since 5231 divided by 1 is a whole number, 1 is a factor of 5231
Multiples of 5231 are all integers divisible by 5231 , i.e. the remainder of the full division by 5231 is zero. There are infinite multiples of 5231. The smallest multiples of 5231 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 5231 since 0 × 5231 = 0
5231 : in fact, 5231 is a multiple of itself, since 5231 is divisible by 5231 (it was 5231 / 5231 = 1, so the rest of this division is zero)
10462: in fact, 10462 = 5231 × 2
15693: in fact, 15693 = 5231 × 3
20924: in fact, 20924 = 5231 × 4
26155: in fact, 26155 = 5231 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 5231, the answer is: yes, 5231 is a prime number because it only has two different divisors: 1 and itself (5231).
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 5231). 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 72.326 ). 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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