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5503is an odd number,as it is not divisible by 2
The factors for 5503 are all the numbers between -5503 and 5503 , which divide 5503 without leaving any remainder. Since 5503 divided by -5503 is an integer, -5503 is a factor of 5503 .
Since 5503 divided by -5503 is a whole number, -5503 is a factor of 5503
Since 5503 divided by -1 is a whole number, -1 is a factor of 5503
Since 5503 divided by 1 is a whole number, 1 is a factor of 5503
Multiples of 5503 are all integers divisible by 5503 , i.e. the remainder of the full division by 5503 is zero. There are infinite multiples of 5503. The smallest multiples of 5503 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 5503 since 0 × 5503 = 0
5503 : in fact, 5503 is a multiple of itself, since 5503 is divisible by 5503 (it was 5503 / 5503 = 1, so the rest of this division is zero)
11006: in fact, 11006 = 5503 × 2
16509: in fact, 16509 = 5503 × 3
22012: in fact, 22012 = 5503 × 4
27515: in fact, 27515 = 5503 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 5503, the answer is: yes, 5503 is a prime number because it only has two different divisors: 1 and itself (5503).
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 5503). 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 74.182 ). 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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