1231is an odd number,as it is not divisible by 2
The factors for 1231 are all the numbers between -1231 and 1231 , which divide 1231 without leaving any remainder. Since 1231 divided by -1231 is an integer, -1231 is a factor of 1231 .
Since 1231 divided by -1231 is a whole number, -1231 is a factor of 1231
Since 1231 divided by -1 is a whole number, -1 is a factor of 1231
Since 1231 divided by 1 is a whole number, 1 is a factor of 1231
Multiples of 1231 are all integers divisible by 1231 , i.e. the remainder of the full division by 1231 is zero. There are infinite multiples of 1231. The smallest multiples of 1231 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 1231 since 0 × 1231 = 0
1231 : in fact, 1231 is a multiple of itself, since 1231 is divisible by 1231 (it was 1231 / 1231 = 1, so the rest of this division is zero)
2462: in fact, 2462 = 1231 × 2
3693: in fact, 3693 = 1231 × 3
4924: in fact, 4924 = 1231 × 4
6155: in fact, 6155 = 1231 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 1231, the answer is: yes, 1231 is a prime number because it only has two different divisors: 1 and itself (1231).
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 1231). 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 35.086 ). 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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