124001is an odd number,as it is not divisible by 2
The factors for 124001 are all the numbers between -124001 and 124001 , which divide 124001 without leaving any remainder. Since 124001 divided by -124001 is an integer, -124001 is a factor of 124001 .
Since 124001 divided by -124001 is a whole number, -124001 is a factor of 124001
Since 124001 divided by -1 is a whole number, -1 is a factor of 124001
Since 124001 divided by 1 is a whole number, 1 is a factor of 124001
Multiples of 124001 are all integers divisible by 124001 , i.e. the remainder of the full division by 124001 is zero. There are infinite multiples of 124001. The smallest multiples of 124001 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 124001 since 0 × 124001 = 0
124001 : in fact, 124001 is a multiple of itself, since 124001 is divisible by 124001 (it was 124001 / 124001 = 1, so the rest of this division is zero)
248002: in fact, 248002 = 124001 × 2
372003: in fact, 372003 = 124001 × 3
496004: in fact, 496004 = 124001 × 4
620005: in fact, 620005 = 124001 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 124001, the answer is: yes, 124001 is a prime number because it only has two different divisors: 1 and itself (124001).
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 124001). 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 352.138 ). 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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