643is an odd number,as it is not divisible by 2
The factors for 643 are all the numbers between -643 and 643 , which divide 643 without leaving any remainder. Since 643 divided by -643 is an integer, -643 is a factor of 643 .
Since 643 divided by -643 is a whole number, -643 is a factor of 643
Since 643 divided by -1 is a whole number, -1 is a factor of 643
Since 643 divided by 1 is a whole number, 1 is a factor of 643
Multiples of 643 are all integers divisible by 643 , i.e. the remainder of the full division by 643 is zero. There are infinite multiples of 643. The smallest multiples of 643 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 643 since 0 × 643 = 0
643 : in fact, 643 is a multiple of itself, since 643 is divisible by 643 (it was 643 / 643 = 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 643, the answer is: yes, 643 is a prime number because it only has two different divisors: 1 and itself (643).
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 643). 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 25.357 ). 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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