9601is an odd number,as it is not divisible by 2
The factors for 9601 are all the numbers between -9601 and 9601 , which divide 9601 without leaving any remainder. Since 9601 divided by -9601 is an integer, -9601 is a factor of 9601 .
Since 9601 divided by -9601 is a whole number, -9601 is a factor of 9601
Since 9601 divided by -1 is a whole number, -1 is a factor of 9601
Since 9601 divided by 1 is a whole number, 1 is a factor of 9601
Multiples of 9601 are all integers divisible by 9601 , i.e. the remainder of the full division by 9601 is zero. There are infinite multiples of 9601. The smallest multiples of 9601 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 9601 since 0 × 9601 = 0
9601 : in fact, 9601 is a multiple of itself, since 9601 is divisible by 9601 (it was 9601 / 9601 = 1, so the rest of this division is zero)
19202: in fact, 19202 = 9601 × 2
28803: in fact, 28803 = 9601 × 3
38404: in fact, 38404 = 9601 × 4
48005: in fact, 48005 = 9601 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 9601, the answer is: yes, 9601 is a prime number because it only has two different divisors: 1 and itself (9601).
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 9601). 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 97.985 ). 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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