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163is an odd number,as it is not divisible by 2
The factors for 163 are all the numbers between -163 and 163 , which divide 163 without leaving any remainder. Since 163 divided by -163 is an integer, -163 is a factor of 163 .
Since 163 divided by -163 is a whole number, -163 is a factor of 163
Since 163 divided by -1 is a whole number, -1 is a factor of 163
Since 163 divided by 1 is a whole number, 1 is a factor of 163
Multiples of 163 are all integers divisible by 163 , i.e. the remainder of the full division by 163 is zero. There are infinite multiples of 163. The smallest multiples of 163 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 163 since 0 × 163 = 0
163 : in fact, 163 is a multiple of itself, since 163 is divisible by 163 (it was 163 / 163 = 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 163, the answer is: yes, 163 is a prime number because it only has two different divisors: 1 and itself (163).
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 163). 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 12.767 ). 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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