1321is an odd number,as it is not divisible by 2
The factors for 1321 are all the numbers between -1321 and 1321 , which divide 1321 without leaving any remainder. Since 1321 divided by -1321 is an integer, -1321 is a factor of 1321 .
Since 1321 divided by -1321 is a whole number, -1321 is a factor of 1321
Since 1321 divided by -1 is a whole number, -1 is a factor of 1321
Since 1321 divided by 1 is a whole number, 1 is a factor of 1321
Multiples of 1321 are all integers divisible by 1321 , i.e. the remainder of the full division by 1321 is zero. There are infinite multiples of 1321. The smallest multiples of 1321 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 1321 since 0 × 1321 = 0
1321 : in fact, 1321 is a multiple of itself, since 1321 is divisible by 1321 (it was 1321 / 1321 = 1, so the rest of this division is zero)
2642: in fact, 2642 = 1321 × 2
3963: in fact, 3963 = 1321 × 3
5284: in fact, 5284 = 1321 × 4
6605: in fact, 6605 = 1321 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 1321, the answer is: yes, 1321 is a prime number because it only has two different divisors: 1 and itself (1321).
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 1321). 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 36.346 ). 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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