961is an odd number,as it is not divisible by 2
The factors for 961 are all the numbers between -961 and 961 , which divide 961 without leaving any remainder. Since 961 divided by -961 is an integer, -961 is a factor of 961 .
Since 961 divided by -961 is a whole number, -961 is a factor of 961
Since 961 divided by -31 is a whole number, -31 is a factor of 961
Since 961 divided by -1 is a whole number, -1 is a factor of 961
Since 961 divided by 1 is a whole number, 1 is a factor of 961
Since 961 divided by 31 is a whole number, 31 is a factor of 961
Multiples of 961 are all integers divisible by 961 , i.e. the remainder of the full division by 961 is zero. There are infinite multiples of 961. The smallest multiples of 961 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 961 since 0 × 961 = 0
961 : in fact, 961 is a multiple of itself, since 961 is divisible by 961 (it was 961 / 961 = 1, so the rest of this division is zero)
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 961, the answer is: No, 961 is not a prime number.
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 961). 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 31 ). 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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