60961is an odd number,as it is not divisible by 2
The factors for 60961 are all the numbers between -60961 and 60961 , which divide 60961 without leaving any remainder. Since 60961 divided by -60961 is an integer, -60961 is a factor of 60961 .
Since 60961 divided by -60961 is a whole number, -60961 is a factor of 60961
Since 60961 divided by -1 is a whole number, -1 is a factor of 60961
Since 60961 divided by 1 is a whole number, 1 is a factor of 60961
Multiples of 60961 are all integers divisible by 60961 , i.e. the remainder of the full division by 60961 is zero. There are infinite multiples of 60961. The smallest multiples of 60961 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 60961 since 0 × 60961 = 0
60961 : in fact, 60961 is a multiple of itself, since 60961 is divisible by 60961 (it was 60961 / 60961 = 1, so the rest of this division is zero)
121922: in fact, 121922 = 60961 × 2
182883: in fact, 182883 = 60961 × 3
243844: in fact, 243844 = 60961 × 4
304805: in fact, 304805 = 60961 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 60961, the answer is: yes, 60961 is a prime number because it only has two different divisors: 1 and itself (60961).
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 60961). 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 246.903 ). 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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