165001is an odd number,as it is not divisible by 2
The factors for 165001 are all the numbers between -165001 and 165001 , which divide 165001 without leaving any remainder. Since 165001 divided by -165001 is an integer, -165001 is a factor of 165001 .
Since 165001 divided by -165001 is a whole number, -165001 is a factor of 165001
Since 165001 divided by -1 is a whole number, -1 is a factor of 165001
Since 165001 divided by 1 is a whole number, 1 is a factor of 165001
Multiples of 165001 are all integers divisible by 165001 , i.e. the remainder of the full division by 165001 is zero. There are infinite multiples of 165001. The smallest multiples of 165001 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 165001 since 0 × 165001 = 0
165001 : in fact, 165001 is a multiple of itself, since 165001 is divisible by 165001 (it was 165001 / 165001 = 1, so the rest of this division is zero)
330002: in fact, 330002 = 165001 × 2
495003: in fact, 495003 = 165001 × 3
660004: in fact, 660004 = 165001 × 4
825005: in fact, 825005 = 165001 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 165001, the answer is: yes, 165001 is a prime number because it only has two different divisors: 1 and itself (165001).
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 165001). 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 406.203 ). 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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