In addition we can say of the number 6742 that it is even
6742 is an even number, as it is divisible by 2 : 6742/2 = 3371
The factors for 6742 are all the numbers between -6742 and 6742 , which divide 6742 without leaving any remainder. Since 6742 divided by -6742 is an integer, -6742 is a factor of 6742 .
Since 6742 divided by -6742 is a whole number, -6742 is a factor of 6742
Since 6742 divided by -3371 is a whole number, -3371 is a factor of 6742
Since 6742 divided by -2 is a whole number, -2 is a factor of 6742
Since 6742 divided by -1 is a whole number, -1 is a factor of 6742
Multiples of 6742 are all integers divisible by 6742 , i.e. the remainder of the full division by 6742 is zero. There are infinite multiples of 6742. The smallest multiples of 6742 are:
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 6742, the answer is: No, 6742 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 6742). 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 82.11 ). 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: 6761