48121is an odd number,as it is not divisible by 2
The factors for 48121 are all the numbers between -48121 and 48121 , which divide 48121 without leaving any remainder. Since 48121 divided by -48121 is an integer, -48121 is a factor of 48121 .
Since 48121 divided by -48121 is a whole number, -48121 is a factor of 48121
Since 48121 divided by -1 is a whole number, -1 is a factor of 48121
Since 48121 divided by 1 is a whole number, 1 is a factor of 48121
Multiples of 48121 are all integers divisible by 48121 , i.e. the remainder of the full division by 48121 is zero. There are infinite multiples of 48121. The smallest multiples of 48121 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 48121 since 0 × 48121 = 0
48121 : in fact, 48121 is a multiple of itself, since 48121 is divisible by 48121 (it was 48121 / 48121 = 1, so the rest of this division is zero)
96242: in fact, 96242 = 48121 × 2
144363: in fact, 144363 = 48121 × 3
192484: in fact, 192484 = 48121 × 4
240605: in fact, 240605 = 48121 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 48121, the answer is: yes, 48121 is a prime number because it only has two different divisors: 1 and itself (48121).
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 48121). 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 219.365 ). 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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