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2521is an odd number,as it is not divisible by 2
The factors for 2521 are all the numbers between -2521 and 2521 , which divide 2521 without leaving any remainder. Since 2521 divided by -2521 is an integer, -2521 is a factor of 2521 .
Since 2521 divided by -2521 is a whole number, -2521 is a factor of 2521
Since 2521 divided by -1 is a whole number, -1 is a factor of 2521
Since 2521 divided by 1 is a whole number, 1 is a factor of 2521
Multiples of 2521 are all integers divisible by 2521 , i.e. the remainder of the full division by 2521 is zero. There are infinite multiples of 2521. The smallest multiples of 2521 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 2521 since 0 × 2521 = 0
2521 : in fact, 2521 is a multiple of itself, since 2521 is divisible by 2521 (it was 2521 / 2521 = 1, so the rest of this division is zero)
5042: in fact, 5042 = 2521 × 2
7563: in fact, 7563 = 2521 × 3
10084: in fact, 10084 = 2521 × 4
12605: in fact, 12605 = 2521 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 2521, the answer is: yes, 2521 is a prime number because it only has two different divisors: 1 and itself (2521).
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 2521). 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 50.21 ). 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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