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2423is an odd number,as it is not divisible by 2
The factors for 2423 are all the numbers between -2423 and 2423 , which divide 2423 without leaving any remainder. Since 2423 divided by -2423 is an integer, -2423 is a factor of 2423 .
Since 2423 divided by -2423 is a whole number, -2423 is a factor of 2423
Since 2423 divided by -1 is a whole number, -1 is a factor of 2423
Since 2423 divided by 1 is a whole number, 1 is a factor of 2423
Multiples of 2423 are all integers divisible by 2423 , i.e. the remainder of the full division by 2423 is zero. There are infinite multiples of 2423. The smallest multiples of 2423 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 2423 since 0 × 2423 = 0
2423 : in fact, 2423 is a multiple of itself, since 2423 is divisible by 2423 (it was 2423 / 2423 = 1, so the rest of this division is zero)
4846: in fact, 4846 = 2423 × 2
7269: in fact, 7269 = 2423 × 3
9692: in fact, 9692 = 2423 × 4
12115: in fact, 12115 = 2423 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 2423, the answer is: yes, 2423 is a prime number because it only has two different divisors: 1 and itself (2423).
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 2423). 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 49.224 ). 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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