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965is an odd number,as it is not divisible by 2
The factors for 965 are all the numbers between -965 and 965 , which divide 965 without leaving any remainder. Since 965 divided by -965 is an integer, -965 is a factor of 965 .
Since 965 divided by -965 is a whole number, -965 is a factor of 965
Since 965 divided by -193 is a whole number, -193 is a factor of 965
Since 965 divided by -5 is a whole number, -5 is a factor of 965
Since 965 divided by -1 is a whole number, -1 is a factor of 965
Since 965 divided by 1 is a whole number, 1 is a factor of 965
Since 965 divided by 5 is a whole number, 5 is a factor of 965
Since 965 divided by 193 is a whole number, 193 is a factor of 965
Multiples of 965 are all integers divisible by 965 , i.e. the remainder of the full division by 965 is zero. There are infinite multiples of 965. The smallest multiples of 965 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 965 since 0 × 965 = 0
965 : in fact, 965 is a multiple of itself, since 965 is divisible by 965 (it was 965 / 965 = 1, so the rest of this division is zero)
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 965, the answer is: No, 965 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 965). 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 31.064 ). 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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