24007is an odd number,as it is not divisible by 2
The factors for 24007 are all the numbers between -24007 and 24007 , which divide 24007 without leaving any remainder. Since 24007 divided by -24007 is an integer, -24007 is a factor of 24007 .
Since 24007 divided by -24007 is a whole number, -24007 is a factor of 24007
Since 24007 divided by -1 is a whole number, -1 is a factor of 24007
Since 24007 divided by 1 is a whole number, 1 is a factor of 24007
Multiples of 24007 are all integers divisible by 24007 , i.e. the remainder of the full division by 24007 is zero. There are infinite multiples of 24007. The smallest multiples of 24007 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 24007 since 0 × 24007 = 0
24007 : in fact, 24007 is a multiple of itself, since 24007 is divisible by 24007 (it was 24007 / 24007 = 1, so the rest of this division is zero)
48014: in fact, 48014 = 24007 × 2
72021: in fact, 72021 = 24007 × 3
96028: in fact, 96028 = 24007 × 4
120035: in fact, 120035 = 24007 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 24007, the answer is: yes, 24007 is a prime number because it only has two different divisors: 1 and itself (24007).
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 24007). 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 154.942 ). 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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