349is an odd number,as it is not divisible by 2
The factors for 349 are all the numbers between -349 and 349 , which divide 349 without leaving any remainder. Since 349 divided by -349 is an integer, -349 is a factor of 349 .
Since 349 divided by -349 is a whole number, -349 is a factor of 349
Since 349 divided by -1 is a whole number, -1 is a factor of 349
Multiples of 349 are all integers divisible by 349 , i.e. the remainder of the full division by 349 is zero. There are infinite multiples of 349. The smallest multiples of 349 are:
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 349, the answer is: yes, 349 is a prime number because it only has two different divisors: 1 and itself (349).
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 349). 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 18.682 ). 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: 347
Next prime number: 353