35999is an odd number,as it is not divisible by 2
The factors for 35999 are all the numbers between -35999 and 35999 , which divide 35999 without leaving any remainder. Since 35999 divided by -35999 is an integer, -35999 is a factor of 35999 .
Since 35999 divided by -35999 is a whole number, -35999 is a factor of 35999
Since 35999 divided by -1 is a whole number, -1 is a factor of 35999
Since 35999 divided by 1 is a whole number, 1 is a factor of 35999
Multiples of 35999 are all integers divisible by 35999 , i.e. the remainder of the full division by 35999 is zero. There are infinite multiples of 35999. The smallest multiples of 35999 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 35999 since 0 × 35999 = 0
35999 : in fact, 35999 is a multiple of itself, since 35999 is divisible by 35999 (it was 35999 / 35999 = 1, so the rest of this division is zero)
71998: in fact, 71998 = 35999 × 2
107997: in fact, 107997 = 35999 × 3
143996: in fact, 143996 = 35999 × 4
179995: in fact, 179995 = 35999 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 35999, the answer is: yes, 35999 is a prime number because it only has two different divisors: 1 and itself (35999).
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 35999). 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 189.734 ). 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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