33721is an odd number,as it is not divisible by 2
The factors for 33721 are all the numbers between -33721 and 33721 , which divide 33721 without leaving any remainder. Since 33721 divided by -33721 is an integer, -33721 is a factor of 33721 .
Since 33721 divided by -33721 is a whole number, -33721 is a factor of 33721
Since 33721 divided by -1 is a whole number, -1 is a factor of 33721
Since 33721 divided by 1 is a whole number, 1 is a factor of 33721
Multiples of 33721 are all integers divisible by 33721 , i.e. the remainder of the full division by 33721 is zero. There are infinite multiples of 33721. The smallest multiples of 33721 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 33721 since 0 × 33721 = 0
33721 : in fact, 33721 is a multiple of itself, since 33721 is divisible by 33721 (it was 33721 / 33721 = 1, so the rest of this division is zero)
67442: in fact, 67442 = 33721 × 2
101163: in fact, 101163 = 33721 × 3
134884: in fact, 134884 = 33721 × 4
168605: in fact, 168605 = 33721 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 33721, the answer is: yes, 33721 is a prime number because it only has two different divisors: 1 and itself (33721).
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 33721). 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 183.633 ). 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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