829is an odd number,as it is not divisible by 2
The factors for 829 are all the numbers between -829 and 829 , which divide 829 without leaving any remainder. Since 829 divided by -829 is an integer, -829 is a factor of 829 .
Since 829 divided by -829 is a whole number, -829 is a factor of 829
Since 829 divided by -1 is a whole number, -1 is a factor of 829
Multiples of 829 are all integers divisible by 829 , i.e. the remainder of the full division by 829 is zero. There are infinite multiples of 829. The smallest multiples of 829 are:
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 829, the answer is: yes, 829 is a prime number because it only has two different divisors: 1 and itself (829).
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 829). 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 28.792 ). 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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Next prime number: 839