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46831is an odd number,as it is not divisible by 2
The factors for 46831 are all the numbers between -46831 and 46831 , which divide 46831 without leaving any remainder. Since 46831 divided by -46831 is an integer, -46831 is a factor of 46831 .
Since 46831 divided by -46831 is a whole number, -46831 is a factor of 46831
Since 46831 divided by -1 is a whole number, -1 is a factor of 46831
Since 46831 divided by 1 is a whole number, 1 is a factor of 46831
Multiples of 46831 are all integers divisible by 46831 , i.e. the remainder of the full division by 46831 is zero. There are infinite multiples of 46831. The smallest multiples of 46831 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 46831 since 0 × 46831 = 0
46831 : in fact, 46831 is a multiple of itself, since 46831 is divisible by 46831 (it was 46831 / 46831 = 1, so the rest of this division is zero)
93662: in fact, 93662 = 46831 × 2
140493: in fact, 140493 = 46831 × 3
187324: in fact, 187324 = 46831 × 4
234155: in fact, 234155 = 46831 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 46831, the answer is: yes, 46831 is a prime number because it only has two different divisors: 1 and itself (46831).
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 46831). 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 216.405 ). 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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