2467is an odd number,as it is not divisible by 2
The factors for 2467 are all the numbers between -2467 and 2467 , which divide 2467 without leaving any remainder. Since 2467 divided by -2467 is an integer, -2467 is a factor of 2467 .
Since 2467 divided by -2467 is a whole number, -2467 is a factor of 2467
Since 2467 divided by -1 is a whole number, -1 is a factor of 2467
Since 2467 divided by 1 is a whole number, 1 is a factor of 2467
Multiples of 2467 are all integers divisible by 2467 , i.e. the remainder of the full division by 2467 is zero. There are infinite multiples of 2467. The smallest multiples of 2467 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 2467 since 0 × 2467 = 0
2467 : in fact, 2467 is a multiple of itself, since 2467 is divisible by 2467 (it was 2467 / 2467 = 1, so the rest of this division is zero)
4934: in fact, 4934 = 2467 × 2
7401: in fact, 7401 = 2467 × 3
9868: in fact, 9868 = 2467 × 4
12335: in fact, 12335 = 2467 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 2467, the answer is: yes, 2467 is a prime number because it only has two different divisors: 1 and itself (2467).
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 2467). 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 49.669 ). 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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