7321is an odd number,as it is not divisible by 2
The factors for 7321 are all the numbers between -7321 and 7321 , which divide 7321 without leaving any remainder. Since 7321 divided by -7321 is an integer, -7321 is a factor of 7321 .
Since 7321 divided by -7321 is a whole number, -7321 is a factor of 7321
Since 7321 divided by -1 is a whole number, -1 is a factor of 7321
Since 7321 divided by 1 is a whole number, 1 is a factor of 7321
Multiples of 7321 are all integers divisible by 7321 , i.e. the remainder of the full division by 7321 is zero. There are infinite multiples of 7321. The smallest multiples of 7321 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 7321 since 0 × 7321 = 0
7321 : in fact, 7321 is a multiple of itself, since 7321 is divisible by 7321 (it was 7321 / 7321 = 1, so the rest of this division is zero)
14642: in fact, 14642 = 7321 × 2
21963: in fact, 21963 = 7321 × 3
29284: in fact, 29284 = 7321 × 4
36605: in fact, 36605 = 7321 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 7321, the answer is: yes, 7321 is a prime number because it only has two different divisors: 1 and itself (7321).
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 7321). 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 85.563 ). 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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