24509is an odd number,as it is not divisible by 2
The factors for 24509 are all the numbers between -24509 and 24509 , which divide 24509 without leaving any remainder. Since 24509 divided by -24509 is an integer, -24509 is a factor of 24509 .
Since 24509 divided by -24509 is a whole number, -24509 is a factor of 24509
Since 24509 divided by -1 is a whole number, -1 is a factor of 24509
Since 24509 divided by 1 is a whole number, 1 is a factor of 24509
Multiples of 24509 are all integers divisible by 24509 , i.e. the remainder of the full division by 24509 is zero. There are infinite multiples of 24509. The smallest multiples of 24509 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 24509 since 0 × 24509 = 0
24509 : in fact, 24509 is a multiple of itself, since 24509 is divisible by 24509 (it was 24509 / 24509 = 1, so the rest of this division is zero)
49018: in fact, 49018 = 24509 × 2
73527: in fact, 73527 = 24509 × 3
98036: in fact, 98036 = 24509 × 4
122545: in fact, 122545 = 24509 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 24509, the answer is: yes, 24509 is a prime number because it only has two different divisors: 1 and itself (24509).
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 24509). 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 156.554 ). 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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