40829is an odd number,as it is not divisible by 2
The factors for 40829 are all the numbers between -40829 and 40829 , which divide 40829 without leaving any remainder. Since 40829 divided by -40829 is an integer, -40829 is a factor of 40829 .
Since 40829 divided by -40829 is a whole number, -40829 is a factor of 40829
Since 40829 divided by -1 is a whole number, -1 is a factor of 40829
Since 40829 divided by 1 is a whole number, 1 is a factor of 40829
Multiples of 40829 are all integers divisible by 40829 , i.e. the remainder of the full division by 40829 is zero. There are infinite multiples of 40829. The smallest multiples of 40829 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 40829 since 0 × 40829 = 0
40829 : in fact, 40829 is a multiple of itself, since 40829 is divisible by 40829 (it was 40829 / 40829 = 1, so the rest of this division is zero)
81658: in fact, 81658 = 40829 × 2
122487: in fact, 122487 = 40829 × 3
163316: in fact, 163316 = 40829 × 4
204145: in fact, 204145 = 40829 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 40829, the answer is: yes, 40829 is a prime number because it only has two different divisors: 1 and itself (40829).
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 40829). 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 202.062 ). 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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