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165is an odd number,as it is not divisible by 2
The factors for 165 are all the numbers between -165 and 165 , which divide 165 without leaving any remainder. Since 165 divided by -165 is an integer, -165 is a factor of 165 .
Since 165 divided by -165 is a whole number, -165 is a factor of 165
Since 165 divided by -55 is a whole number, -55 is a factor of 165
Since 165 divided by -33 is a whole number, -33 is a factor of 165
Since 165 divided by -15 is a whole number, -15 is a factor of 165
Since 165 divided by -11 is a whole number, -11 is a factor of 165
Since 165 divided by -5 is a whole number, -5 is a factor of 165
Since 165 divided by -3 is a whole number, -3 is a factor of 165
Since 165 divided by -1 is a whole number, -1 is a factor of 165
Since 165 divided by 1 is a whole number, 1 is a factor of 165
Since 165 divided by 3 is a whole number, 3 is a factor of 165
Since 165 divided by 5 is a whole number, 5 is a factor of 165
Since 165 divided by 11 is a whole number, 11 is a factor of 165
Since 165 divided by 15 is a whole number, 15 is a factor of 165
Since 165 divided by 33 is a whole number, 33 is a factor of 165
Since 165 divided by 55 is a whole number, 55 is a factor of 165
Multiples of 165 are all integers divisible by 165 , i.e. the remainder of the full division by 165 is zero. There are infinite multiples of 165. The smallest multiples of 165 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 165 since 0 × 165 = 0
165 : in fact, 165 is a multiple of itself, since 165 is divisible by 165 (it was 165 / 165 = 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 165, the answer is: No, 165 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 165). 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 12.845 ). 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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