996001is an odd number,as it is not divisible by 2
The factors for 996001 are all the numbers between -996001 and 996001 , which divide 996001 without leaving any remainder. Since 996001 divided by -996001 is an integer, -996001 is a factor of 996001 .
Since 996001 divided by -996001 is a whole number, -996001 is a factor of 996001
Since 996001 divided by -1 is a whole number, -1 is a factor of 996001
Since 996001 divided by 1 is a whole number, 1 is a factor of 996001
Multiples of 996001 are all integers divisible by 996001 , i.e. the remainder of the full division by 996001 is zero. There are infinite multiples of 996001. The smallest multiples of 996001 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 996001 since 0 × 996001 = 0
996001 : in fact, 996001 is a multiple of itself, since 996001 is divisible by 996001 (it was 996001 / 996001 = 1, so the rest of this division is zero)
1992002: in fact, 1992002 = 996001 × 2
2988003: in fact, 2988003 = 996001 × 3
3984004: in fact, 3984004 = 996001 × 4
4980005: in fact, 4980005 = 996001 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 996001, the answer is: yes, 996001 is a prime number because it only has two different divisors: 1 and itself (996001).
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 996001). 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 997.998 ). 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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