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48731is an odd number,as it is not divisible by 2
The factors for 48731 are all the numbers between -48731 and 48731 , which divide 48731 without leaving any remainder. Since 48731 divided by -48731 is an integer, -48731 is a factor of 48731 .
Since 48731 divided by -48731 is a whole number, -48731 is a factor of 48731
Since 48731 divided by -1 is a whole number, -1 is a factor of 48731
Since 48731 divided by 1 is a whole number, 1 is a factor of 48731
Multiples of 48731 are all integers divisible by 48731 , i.e. the remainder of the full division by 48731 is zero. There are infinite multiples of 48731. The smallest multiples of 48731 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 48731 since 0 × 48731 = 0
48731 : in fact, 48731 is a multiple of itself, since 48731 is divisible by 48731 (it was 48731 / 48731 = 1, so the rest of this division is zero)
97462: in fact, 97462 = 48731 × 2
146193: in fact, 146193 = 48731 × 3
194924: in fact, 194924 = 48731 × 4
243655: in fact, 243655 = 48731 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 48731, the answer is: yes, 48731 is a prime number because it only has two different divisors: 1 and itself (48731).
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 48731). 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 220.751 ). 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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