33is an odd number,as it is not divisible by 2
The factors for 33 are all the numbers between -33 and 33 , which divide 33 without leaving any remainder. Since 33 divided by -33 is an integer, -33 is a factor of 33 .
Since 33 divided by -33 is a whole number, -33 is a factor of 33
Since 33 divided by -11 is a whole number, -11 is a factor of 33
Since 33 divided by -3 is a whole number, -3 is a factor of 33
Since 33 divided by -1 is a whole number, -1 is a factor of 33
Multiples of 33 are all integers divisible by 33 , i.e. the remainder of the full division by 33 is zero. There are infinite multiples of 33. The smallest multiples of 33 are:
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 33, the answer is: No, 33 is not a prime number.
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 33). 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 5.745 ). 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.
Previous prime number: 31
Next prime number: 37