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In addition we can say of the number 164 that it is even
164 is an even number, as it is divisible by 2 : 164/2 = 82
The factors for 164 are all the numbers between -164 and 164 , which divide 164 without leaving any remainder. Since 164 divided by -164 is an integer, -164 is a factor of 164 .
Since 164 divided by -164 is a whole number, -164 is a factor of 164
Since 164 divided by -82 is a whole number, -82 is a factor of 164
Since 164 divided by -41 is a whole number, -41 is a factor of 164
Since 164 divided by -4 is a whole number, -4 is a factor of 164
Since 164 divided by -2 is a whole number, -2 is a factor of 164
Since 164 divided by -1 is a whole number, -1 is a factor of 164
Since 164 divided by 1 is a whole number, 1 is a factor of 164
Since 164 divided by 2 is a whole number, 2 is a factor of 164
Since 164 divided by 4 is a whole number, 4 is a factor of 164
Since 164 divided by 41 is a whole number, 41 is a factor of 164
Since 164 divided by 82 is a whole number, 82 is a factor of 164
Multiples of 164 are all integers divisible by 164 , i.e. the remainder of the full division by 164 is zero. There are infinite multiples of 164. The smallest multiples of 164 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 164 since 0 × 164 = 0
164 : in fact, 164 is a multiple of itself, since 164 is divisible by 164 (it was 164 / 164 = 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 164, the answer is: No, 164 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 164). 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 12.806 ). 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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