48989is an odd number,as it is not divisible by 2
The factors for 48989 are all the numbers between -48989 and 48989 , which divide 48989 without leaving any remainder. Since 48989 divided by -48989 is an integer, -48989 is a factor of 48989 .
Since 48989 divided by -48989 is a whole number, -48989 is a factor of 48989
Since 48989 divided by -1 is a whole number, -1 is a factor of 48989
Since 48989 divided by 1 is a whole number, 1 is a factor of 48989
Multiples of 48989 are all integers divisible by 48989 , i.e. the remainder of the full division by 48989 is zero. There are infinite multiples of 48989. The smallest multiples of 48989 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 48989 since 0 × 48989 = 0
48989 : in fact, 48989 is a multiple of itself, since 48989 is divisible by 48989 (it was 48989 / 48989 = 1, so the rest of this division is zero)
97978: in fact, 97978 = 48989 × 2
146967: in fact, 146967 = 48989 × 3
195956: in fact, 195956 = 48989 × 4
244945: in fact, 244945 = 48989 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 48989, the answer is: yes, 48989 is a prime number because it only has two different divisors: 1 and itself (48989).
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 48989). 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 221.335 ). 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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