What are the divisors of 4879?

1, 7, 17, 41, 119, 287, 697, 4879

8 odd divisors

1, 7, 17, 41, 119, 287, 697, 4879

How to compute the divisors of 4879?

A number N is said to be divisible by a number M (with M non-zero) if, when we divide N by M, the remainder of the division is zero.

N mod M = 0

Brute force algorithm

We could start by using a brute-force method which would involve dividing 4879 by each of the numbers from 1 to 4879 to determine which ones have a remainder equal to 0.

Remainder = N ( M × N M )

(where N M is the integer part of the quotient)

  • 4879 / 1 = 4879 (the remainder is 0, so 1 is a divisor of 4879)
  • 4879 / 2 = 2439.5 (the remainder is 1, so 2 is not a divisor of 4879)
  • 4879 / 3 = 1626.3333333333 (the remainder is 1, so 3 is not a divisor of 4879)
  • ...
  • 4879 / 4878 = 1.00020500205 (the remainder is 1, so 4878 is not a divisor of 4879)
  • 4879 / 4879 = 1 (the remainder is 0, so 4879 is a divisor of 4879)

Improved algorithm using square-root

However, there is another slightly better approach that reduces the number of iterations by testing only integers less than or equal to the square root of 4879 (i.e. 69.849838940401). Indeed, if a number N has a divisor D greater than its square root, then there is necessarily a smaller divisor d such that:

D × d = N

(thus, if N D = d , then N d = D )

  • 4879 / 1 = 4879 (the remainder is 0, so 1 and 4879 are divisors of 4879)
  • 4879 / 2 = 2439.5 (the remainder is 1, so 2 is not a divisor of 4879)
  • 4879 / 3 = 1626.3333333333 (the remainder is 1, so 3 is not a divisor of 4879)
  • ...
  • 4879 / 68 = 71.75 (the remainder is 51, so 68 is not a divisor of 4879)
  • 4879 / 69 = 70.710144927536 (the remainder is 49, so 69 is not a divisor of 4879)