In addition we can say of the number 3428 that it is even
3428 is an even number, as it is divisible by 2 : 3428/2 = 1714
The factors for 3428 are all the numbers between -3428 and 3428 , which divide 3428 without leaving any remainder. Since 3428 divided by -3428 is an integer, -3428 is a factor of 3428 .
Since 3428 divided by -3428 is a whole number, -3428 is a factor of 3428
Since 3428 divided by -1714 is a whole number, -1714 is a factor of 3428
Since 3428 divided by -857 is a whole number, -857 is a factor of 3428
Since 3428 divided by -4 is a whole number, -4 is a factor of 3428
Since 3428 divided by -2 is a whole number, -2 is a factor of 3428
Since 3428 divided by -1 is a whole number, -1 is a factor of 3428
Multiples of 3428 are all integers divisible by 3428 , i.e. the remainder of the full division by 3428 is zero. There are infinite multiples of 3428. The smallest multiples of 3428 are:
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 3428, the answer is: No, 3428 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 3428). 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 58.549 ). 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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Next prime number: 3433