100801is an odd number,as it is not divisible by 2
The factors for 100801 are all the numbers between -100801 and 100801 , which divide 100801 without leaving any remainder. Since 100801 divided by -100801 is an integer, -100801 is a factor of 100801 .
Since 100801 divided by -100801 is a whole number, -100801 is a factor of 100801
Since 100801 divided by -1 is a whole number, -1 is a factor of 100801
Since 100801 divided by 1 is a whole number, 1 is a factor of 100801
Multiples of 100801 are all integers divisible by 100801 , i.e. the remainder of the full division by 100801 is zero. There are infinite multiples of 100801. The smallest multiples of 100801 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 100801 since 0 × 100801 = 0
100801 : in fact, 100801 is a multiple of itself, since 100801 is divisible by 100801 (it was 100801 / 100801 = 1, so the rest of this division is zero)
201602: in fact, 201602 = 100801 × 2
302403: in fact, 302403 = 100801 × 3
403204: in fact, 403204 = 100801 × 4
504005: in fact, 504005 = 100801 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 100801, the answer is: yes, 100801 is a prime number because it only has two different divisors: 1 and itself (100801).
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 100801). 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 317.492 ). 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: ... 100799, 100800
Next Numbers: 100802, 100803 ...
Previous prime number: 100799
Next prime number: 100811