5323is an odd number,as it is not divisible by 2
The factors for 5323 are all the numbers between -5323 and 5323 , which divide 5323 without leaving any remainder. Since 5323 divided by -5323 is an integer, -5323 is a factor of 5323 .
Since 5323 divided by -5323 is a whole number, -5323 is a factor of 5323
Since 5323 divided by -1 is a whole number, -1 is a factor of 5323
Since 5323 divided by 1 is a whole number, 1 is a factor of 5323
Multiples of 5323 are all integers divisible by 5323 , i.e. the remainder of the full division by 5323 is zero. There are infinite multiples of 5323. The smallest multiples of 5323 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 5323 since 0 × 5323 = 0
5323 : in fact, 5323 is a multiple of itself, since 5323 is divisible by 5323 (it was 5323 / 5323 = 1, so the rest of this division is zero)
10646: in fact, 10646 = 5323 × 2
15969: in fact, 15969 = 5323 × 3
21292: in fact, 21292 = 5323 × 4
26615: in fact, 26615 = 5323 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 5323, the answer is: yes, 5323 is a prime number because it only has two different divisors: 1 and itself (5323).
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 5323). 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 72.959 ). 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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