48991is an odd number,as it is not divisible by 2
The factors for 48991 are all the numbers between -48991 and 48991 , which divide 48991 without leaving any remainder. Since 48991 divided by -48991 is an integer, -48991 is a factor of 48991 .
Since 48991 divided by -48991 is a whole number, -48991 is a factor of 48991
Since 48991 divided by -1 is a whole number, -1 is a factor of 48991
Since 48991 divided by 1 is a whole number, 1 is a factor of 48991
Multiples of 48991 are all integers divisible by 48991 , i.e. the remainder of the full division by 48991 is zero. There are infinite multiples of 48991. The smallest multiples of 48991 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 48991 since 0 × 48991 = 0
48991 : in fact, 48991 is a multiple of itself, since 48991 is divisible by 48991 (it was 48991 / 48991 = 1, so the rest of this division is zero)
97982: in fact, 97982 = 48991 × 2
146973: in fact, 146973 = 48991 × 3
195964: in fact, 195964 = 48991 × 4
244955: in fact, 244955 = 48991 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 48991, the answer is: yes, 48991 is a prime number because it only has two different divisors: 1 and itself (48991).
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 48991). 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 221.339 ). 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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