Divisor

Divisor

In a division operation, the name given to a number that divides another. The divisor is the second term in the division operation.

Examples

  • The divisors of 15 are: div(15) = {1, 3, 5, 15}.
  • The divisors of 18 are: div(18) = {1, 2, 3, 6, 9, 18}.
  • The divisors of 25 are: div(25) = {1, 5, 25}.
  • In the operation 12 ÷ 4 = 3, the number 4 is called the divisor and the number 12 is called the dividend.
  • The set of a number’s divisors can be represented by a lattice where the prime divisors determine the direction of the connections:
    Diviseur
    In this lattice, we identified the prime divisors in the blue squares and primary divisors in blue or orange squares. We can quickly see that 72 has 12 divisors in total.

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