16001is an odd number,as it is not divisible by 2
The factors for 16001 are all the numbers between -16001 and 16001 , which divide 16001 without leaving any remainder. Since 16001 divided by -16001 is an integer, -16001 is a factor of 16001 .
Since 16001 divided by -16001 is a whole number, -16001 is a factor of 16001
Since 16001 divided by -1 is a whole number, -1 is a factor of 16001
Since 16001 divided by 1 is a whole number, 1 is a factor of 16001
Multiples of 16001 are all integers divisible by 16001 , i.e. the remainder of the full division by 16001 is zero. There are infinite multiples of 16001. The smallest multiples of 16001 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 16001 since 0 × 16001 = 0
16001 : in fact, 16001 is a multiple of itself, since 16001 is divisible by 16001 (it was 16001 / 16001 = 1, so the rest of this division is zero)
32002: in fact, 32002 = 16001 × 2
48003: in fact, 48003 = 16001 × 3
64004: in fact, 64004 = 16001 × 4
80005: in fact, 80005 = 16001 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 16001, the answer is: yes, 16001 is a prime number because it only has two different divisors: 1 and itself (16001).
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 16001). 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 126.495 ). 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.
Previous Numbers: ... 15999, 16000
Next Numbers: 16002, 16003 ...
Previous prime number: 15991
Next prime number: 16007