35831is an odd number,as it is not divisible by 2
The factors for 35831 are all the numbers between -35831 and 35831 , which divide 35831 without leaving any remainder. Since 35831 divided by -35831 is an integer, -35831 is a factor of 35831 .
Since 35831 divided by -35831 is a whole number, -35831 is a factor of 35831
Since 35831 divided by -1 is a whole number, -1 is a factor of 35831
Since 35831 divided by 1 is a whole number, 1 is a factor of 35831
Multiples of 35831 are all integers divisible by 35831 , i.e. the remainder of the full division by 35831 is zero. There are infinite multiples of 35831. The smallest multiples of 35831 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 35831 since 0 × 35831 = 0
35831 : in fact, 35831 is a multiple of itself, since 35831 is divisible by 35831 (it was 35831 / 35831 = 1, so the rest of this division is zero)
71662: in fact, 71662 = 35831 × 2
107493: in fact, 107493 = 35831 × 3
143324: in fact, 143324 = 35831 × 4
179155: in fact, 179155 = 35831 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 35831, the answer is: yes, 35831 is a prime number because it only has two different divisors: 1 and itself (35831).
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 35831). 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 189.291 ). 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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