In addition we can say of the number 3742 that it is even
3742 is an even number, as it is divisible by 2 : 3742/2 = 1871
The factors for 3742 are all the numbers between -3742 and 3742 , which divide 3742 without leaving any remainder. Since 3742 divided by -3742 is an integer, -3742 is a factor of 3742 .
Since 3742 divided by -3742 is a whole number, -3742 is a factor of 3742
Since 3742 divided by -1871 is a whole number, -1871 is a factor of 3742
Since 3742 divided by -2 is a whole number, -2 is a factor of 3742
Since 3742 divided by -1 is a whole number, -1 is a factor of 3742
Multiples of 3742 are all integers divisible by 3742 , i.e. the remainder of the full division by 3742 is zero. There are infinite multiples of 3742. The smallest multiples of 3742 are:
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 3742, the answer is: No, 3742 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 3742). 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 61.172 ). 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: 3739
Next prime number: 3761