4831is an odd number,as it is not divisible by 2
The factors for 4831 are all the numbers between -4831 and 4831 , which divide 4831 without leaving any remainder. Since 4831 divided by -4831 is an integer, -4831 is a factor of 4831 .
Since 4831 divided by -4831 is a whole number, -4831 is a factor of 4831
Since 4831 divided by -1 is a whole number, -1 is a factor of 4831
Since 4831 divided by 1 is a whole number, 1 is a factor of 4831
Multiples of 4831 are all integers divisible by 4831 , i.e. the remainder of the full division by 4831 is zero. There are infinite multiples of 4831. The smallest multiples of 4831 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 4831 since 0 × 4831 = 0
4831 : in fact, 4831 is a multiple of itself, since 4831 is divisible by 4831 (it was 4831 / 4831 = 1, so the rest of this division is zero)
9662: in fact, 9662 = 4831 × 2
14493: in fact, 14493 = 4831 × 3
19324: in fact, 19324 = 4831 × 4
24155: in fact, 24155 = 4831 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 4831, the answer is: yes, 4831 is a prime number because it only has two different divisors: 1 and itself (4831).
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 4831). 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 69.505 ). 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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