120829is an odd number,as it is not divisible by 2
The factors for 120829 are all the numbers between -120829 and 120829 , which divide 120829 without leaving any remainder. Since 120829 divided by -120829 is an integer, -120829 is a factor of 120829 .
Since 120829 divided by -120829 is a whole number, -120829 is a factor of 120829
Since 120829 divided by -1 is a whole number, -1 is a factor of 120829
Since 120829 divided by 1 is a whole number, 1 is a factor of 120829
Multiples of 120829 are all integers divisible by 120829 , i.e. the remainder of the full division by 120829 is zero. There are infinite multiples of 120829. The smallest multiples of 120829 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 120829 since 0 × 120829 = 0
120829 : in fact, 120829 is a multiple of itself, since 120829 is divisible by 120829 (it was 120829 / 120829 = 1, so the rest of this division is zero)
241658: in fact, 241658 = 120829 × 2
362487: in fact, 362487 = 120829 × 3
483316: in fact, 483316 = 120829 × 4
604145: in fact, 604145 = 120829 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 120829, the answer is: yes, 120829 is a prime number because it only has two different divisors: 1 and itself (120829).
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 120829). 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 347.605 ). 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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