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2473is an odd number,as it is not divisible by 2
The factors for 2473 are all the numbers between -2473 and 2473 , which divide 2473 without leaving any remainder. Since 2473 divided by -2473 is an integer, -2473 is a factor of 2473 .
Since 2473 divided by -2473 is a whole number, -2473 is a factor of 2473
Since 2473 divided by -1 is a whole number, -1 is a factor of 2473
Since 2473 divided by 1 is a whole number, 1 is a factor of 2473
Multiples of 2473 are all integers divisible by 2473 , i.e. the remainder of the full division by 2473 is zero. There are infinite multiples of 2473. The smallest multiples of 2473 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 2473 since 0 × 2473 = 0
2473 : in fact, 2473 is a multiple of itself, since 2473 is divisible by 2473 (it was 2473 / 2473 = 1, so the rest of this division is zero)
4946: in fact, 4946 = 2473 × 2
7419: in fact, 7419 = 2473 × 3
9892: in fact, 9892 = 2473 × 4
12365: in fact, 12365 = 2473 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 2473, the answer is: yes, 2473 is a prime number because it only has two different divisors: 1 and itself (2473).
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 2473). 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 49.729 ). 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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