In addition we can say of the number 3722 that it is even
3722 is an even number, as it is divisible by 2 : 3722/2 = 1861
The factors for 3722 are all the numbers between -3722 and 3722 , which divide 3722 without leaving any remainder. Since 3722 divided by -3722 is an integer, -3722 is a factor of 3722 .
Since 3722 divided by -3722 is a whole number, -3722 is a factor of 3722
Since 3722 divided by -1861 is a whole number, -1861 is a factor of 3722
Since 3722 divided by -2 is a whole number, -2 is a factor of 3722
Since 3722 divided by -1 is a whole number, -1 is a factor of 3722
Multiples of 3722 are all integers divisible by 3722 , i.e. the remainder of the full division by 3722 is zero. There are infinite multiples of 3722. The smallest multiples of 3722 are:
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 3722, the answer is: No, 3722 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 3722). 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 61.008 ). 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: 3719
Next prime number: 3727