24137is an odd number,as it is not divisible by 2
The factors for 24137 are all the numbers between -24137 and 24137 , which divide 24137 without leaving any remainder. Since 24137 divided by -24137 is an integer, -24137 is a factor of 24137 .
Since 24137 divided by -24137 is a whole number, -24137 is a factor of 24137
Since 24137 divided by -1 is a whole number, -1 is a factor of 24137
Since 24137 divided by 1 is a whole number, 1 is a factor of 24137
Multiples of 24137 are all integers divisible by 24137 , i.e. the remainder of the full division by 24137 is zero. There are infinite multiples of 24137. The smallest multiples of 24137 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 24137 since 0 × 24137 = 0
24137 : in fact, 24137 is a multiple of itself, since 24137 is divisible by 24137 (it was 24137 / 24137 = 1, so the rest of this division is zero)
48274: in fact, 48274 = 24137 × 2
72411: in fact, 72411 = 24137 × 3
96548: in fact, 96548 = 24137 × 4
120685: in fact, 120685 = 24137 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 24137, the answer is: yes, 24137 is a prime number because it only has two different divisors: 1 and itself (24137).
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 24137). 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 155.361 ). 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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