Problem 42615. Factorizing a number into a given number of factors

  • Created by HH

Given a positive integer, n, and another positive integer, b, return a matrix, M, of width b, with the following properties: (a) Each row is sorted in ascending order (b) the rows are unique (c) the product of the integers in each row equals n (d) the columns are sorted in ascending order, such that the primary sorting is based on the first column, secondary on the second column, etc. (e) M contains integer values only

Note: The number 1 is also considered a valid factor.

Example 1:

n = 30

b = 2

M = [ 1 30 ; 2 15 ; 3 10 ; 5 6 ]

Example 2:

n = 120

b = 3

M = [ 1 1 120 ; 1 2 60 ; 1 3 40 ; 1 4 30 ; 1 5 24 ; 1 6 20 ; 1 8 15 ; 1 10 12 ; 2 2 30 ; 2 3 20 ; 2 4 15 ; 2 5 12 ; 2 6 10 ; 3 4 10 ; 3 5 8 ; 4 5 6 ]

Solution Stats

25.96% Correct | 74.04% Incorrect
Last Solution submitted on Feb 20, 2024

Problem Comments

Solution Comments

Show comments

Problem Recent Solvers22

Suggested Problems

More from this Author45

Problem Tags

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!