733is an odd number,as it is not divisible by 2
The factors for 733 are all the numbers between -733 and 733 , which divide 733 without leaving any remainder. Since 733 divided by -733 is an integer, -733 is a factor of 733 .
Since 733 divided by -733 is a whole number, -733 is a factor of 733
Since 733 divided by -1 is a whole number, -1 is a factor of 733
Multiples of 733 are all integers divisible by 733 , i.e. the remainder of the full division by 733 is zero. There are infinite multiples of 733. The smallest multiples of 733 are:
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 733, the answer is: yes, 733 is a prime number because it only has two different divisors: 1 and itself (733).
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 733). 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 27.074 ). 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: 727
Next prime number: 739