48397is an odd number,as it is not divisible by 2
The factors for 48397 are all the numbers between -48397 and 48397 , which divide 48397 without leaving any remainder. Since 48397 divided by -48397 is an integer, -48397 is a factor of 48397 .
Since 48397 divided by -48397 is a whole number, -48397 is a factor of 48397
Since 48397 divided by -1 is a whole number, -1 is a factor of 48397
Since 48397 divided by 1 is a whole number, 1 is a factor of 48397
Multiples of 48397 are all integers divisible by 48397 , i.e. the remainder of the full division by 48397 is zero. There are infinite multiples of 48397. The smallest multiples of 48397 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 48397 since 0 × 48397 = 0
48397 : in fact, 48397 is a multiple of itself, since 48397 is divisible by 48397 (it was 48397 / 48397 = 1, so the rest of this division is zero)
96794: in fact, 96794 = 48397 × 2
145191: in fact, 145191 = 48397 × 3
193588: in fact, 193588 = 48397 × 4
241985: in fact, 241985 = 48397 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 48397, the answer is: yes, 48397 is a prime number because it only has two different divisors: 1 and itself (48397).
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 48397). 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 219.993 ). 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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