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3449is an odd number,as it is not divisible by 2
The factors for 3449 are all the numbers between -3449 and 3449 , which divide 3449 without leaving any remainder. Since 3449 divided by -3449 is an integer, -3449 is a factor of 3449 .
Since 3449 divided by -3449 is a whole number, -3449 is a factor of 3449
Since 3449 divided by -1 is a whole number, -1 is a factor of 3449
Since 3449 divided by 1 is a whole number, 1 is a factor of 3449
Multiples of 3449 are all integers divisible by 3449 , i.e. the remainder of the full division by 3449 is zero. There are infinite multiples of 3449. The smallest multiples of 3449 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 3449 since 0 × 3449 = 0
3449 : in fact, 3449 is a multiple of itself, since 3449 is divisible by 3449 (it was 3449 / 3449 = 1, so the rest of this division is zero)
6898: in fact, 6898 = 3449 × 2
10347: in fact, 10347 = 3449 × 3
13796: in fact, 13796 = 3449 × 4
17245: in fact, 17245 = 3449 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 3449, the answer is: yes, 3449 is a prime number because it only has two different divisors: 1 and itself (3449).
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 3449). 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 58.728 ). 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.
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