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4231is an odd number,as it is not divisible by 2
The factors for 4231 are all the numbers between -4231 and 4231 , which divide 4231 without leaving any remainder. Since 4231 divided by -4231 is an integer, -4231 is a factor of 4231 .
Since 4231 divided by -4231 is a whole number, -4231 is a factor of 4231
Since 4231 divided by -1 is a whole number, -1 is a factor of 4231
Since 4231 divided by 1 is a whole number, 1 is a factor of 4231
Multiples of 4231 are all integers divisible by 4231 , i.e. the remainder of the full division by 4231 is zero. There are infinite multiples of 4231. The smallest multiples of 4231 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 4231 since 0 × 4231 = 0
4231 : in fact, 4231 is a multiple of itself, since 4231 is divisible by 4231 (it was 4231 / 4231 = 1, so the rest of this division is zero)
8462: in fact, 8462 = 4231 × 2
12693: in fact, 12693 = 4231 × 3
16924: in fact, 16924 = 4231 × 4
21155: in fact, 21155 = 4231 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 4231, the answer is: yes, 4231 is a prime number because it only has two different divisors: 1 and itself (4231).
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 4231). 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 65.046 ). 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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