3499is an odd number,as it is not divisible by 2
The factors for 3499 are all the numbers between -3499 and 3499 , which divide 3499 without leaving any remainder. Since 3499 divided by -3499 is an integer, -3499 is a factor of 3499 .
Since 3499 divided by -3499 is a whole number, -3499 is a factor of 3499
Since 3499 divided by -1 is a whole number, -1 is a factor of 3499
Multiples of 3499 are all integers divisible by 3499 , i.e. the remainder of the full division by 3499 is zero. There are infinite multiples of 3499. The smallest multiples of 3499 are:
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 3499, the answer is: yes, 3499 is a prime number because it only has two different divisors: 1 and itself (3499).
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 3499). 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 59.152 ). 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: 3491
Next prime number: 3511