In addition we can say of the number 3508 that it is even
3508 is an even number, as it is divisible by 2 : 3508/2 = 1754
The factors for 3508 are all the numbers between -3508 and 3508 , which divide 3508 without leaving any remainder. Since 3508 divided by -3508 is an integer, -3508 is a factor of 3508 .
Since 3508 divided by -3508 is a whole number, -3508 is a factor of 3508
Since 3508 divided by -1754 is a whole number, -1754 is a factor of 3508
Since 3508 divided by -877 is a whole number, -877 is a factor of 3508
Since 3508 divided by -4 is a whole number, -4 is a factor of 3508
Since 3508 divided by -2 is a whole number, -2 is a factor of 3508
Since 3508 divided by -1 is a whole number, -1 is a factor of 3508
Multiples of 3508 are all integers divisible by 3508 , i.e. the remainder of the full division by 3508 is zero. There are infinite multiples of 3508. The smallest multiples of 3508 are:
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 3508, the answer is: No, 3508 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 3508). 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 59.228 ). 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: 3499
Next prime number: 3511