In addition we can say of the number 4742 that it is even
4742 is an even number, as it is divisible by 2 : 4742/2 = 2371
The factors for 4742 are all the numbers between -4742 and 4742 , which divide 4742 without leaving any remainder. Since 4742 divided by -4742 is an integer, -4742 is a factor of 4742 .
Since 4742 divided by -4742 is a whole number, -4742 is a factor of 4742
Since 4742 divided by -2371 is a whole number, -2371 is a factor of 4742
Since 4742 divided by -2 is a whole number, -2 is a factor of 4742
Since 4742 divided by -1 is a whole number, -1 is a factor of 4742
Multiples of 4742 are all integers divisible by 4742 , i.e. the remainder of the full division by 4742 is zero. There are infinite multiples of 4742. The smallest multiples of 4742 are:
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 4742, the answer is: No, 4742 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 4742). 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 68.862 ). 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: 4733
Next prime number: 4751