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321is an odd number,as it is not divisible by 2
The factors for 321 are all the numbers between -321 and 321 , which divide 321 without leaving any remainder. Since 321 divided by -321 is an integer, -321 is a factor of 321 .
Since 321 divided by -321 is a whole number, -321 is a factor of 321
Since 321 divided by -107 is a whole number, -107 is a factor of 321
Since 321 divided by -3 is a whole number, -3 is a factor of 321
Since 321 divided by -1 is a whole number, -1 is a factor of 321
Since 321 divided by 1 is a whole number, 1 is a factor of 321
Since 321 divided by 3 is a whole number, 3 is a factor of 321
Since 321 divided by 107 is a whole number, 107 is a factor of 321
Multiples of 321 are all integers divisible by 321 , i.e. the remainder of the full division by 321 is zero. There are infinite multiples of 321. The smallest multiples of 321 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 321 since 0 × 321 = 0
321 : in fact, 321 is a multiple of itself, since 321 is divisible by 321 (it was 321 / 321 = 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 321, the answer is: No, 321 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 321). 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 17.916 ). 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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