104701is an odd number,as it is not divisible by 2
The factors for 104701 are all the numbers between -104701 and 104701 , which divide 104701 without leaving any remainder. Since 104701 divided by -104701 is an integer, -104701 is a factor of 104701 .
Since 104701 divided by -104701 is a whole number, -104701 is a factor of 104701
Since 104701 divided by -1 is a whole number, -1 is a factor of 104701
Since 104701 divided by 1 is a whole number, 1 is a factor of 104701
Multiples of 104701 are all integers divisible by 104701 , i.e. the remainder of the full division by 104701 is zero. There are infinite multiples of 104701. The smallest multiples of 104701 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 104701 since 0 × 104701 = 0
104701 : in fact, 104701 is a multiple of itself, since 104701 is divisible by 104701 (it was 104701 / 104701 = 1, so the rest of this division is zero)
209402: in fact, 209402 = 104701 × 2
314103: in fact, 314103 = 104701 × 3
418804: in fact, 418804 = 104701 × 4
523505: in fact, 523505 = 104701 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 104701, the answer is: yes, 104701 is a prime number because it only has two different divisors: 1 and itself (104701).
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 104701). 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 323.575 ). 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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