23671is an odd number,as it is not divisible by 2
The factors for 23671 are all the numbers between -23671 and 23671 , which divide 23671 without leaving any remainder. Since 23671 divided by -23671 is an integer, -23671 is a factor of 23671 .
Since 23671 divided by -23671 is a whole number, -23671 is a factor of 23671
Since 23671 divided by -1 is a whole number, -1 is a factor of 23671
Since 23671 divided by 1 is a whole number, 1 is a factor of 23671
Multiples of 23671 are all integers divisible by 23671 , i.e. the remainder of the full division by 23671 is zero. There are infinite multiples of 23671. The smallest multiples of 23671 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 23671 since 0 × 23671 = 0
23671 : in fact, 23671 is a multiple of itself, since 23671 is divisible by 23671 (it was 23671 / 23671 = 1, so the rest of this division is zero)
47342: in fact, 47342 = 23671 × 2
71013: in fact, 71013 = 23671 × 3
94684: in fact, 94684 = 23671 × 4
118355: in fact, 118355 = 23671 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 23671, the answer is: yes, 23671 is a prime number because it only has two different divisors: 1 and itself (23671).
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 23671). 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 153.854 ). 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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