In addition we can say of the number 4748 that it is even
4748 is an even number, as it is divisible by 2 : 4748/2 = 2374
The factors for 4748 are all the numbers between -4748 and 4748 , which divide 4748 without leaving any remainder. Since 4748 divided by -4748 is an integer, -4748 is a factor of 4748 .
Since 4748 divided by -4748 is a whole number, -4748 is a factor of 4748
Since 4748 divided by -2374 is a whole number, -2374 is a factor of 4748
Since 4748 divided by -1187 is a whole number, -1187 is a factor of 4748
Since 4748 divided by -4 is a whole number, -4 is a factor of 4748
Since 4748 divided by -2 is a whole number, -2 is a factor of 4748
Since 4748 divided by -1 is a whole number, -1 is a factor of 4748
Multiples of 4748 are all integers divisible by 4748 , i.e. the remainder of the full division by 4748 is zero. There are infinite multiples of 4748. The smallest multiples of 4748 are:
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 4748, the answer is: No, 4748 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 4748). 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 68.906 ). 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