Problem 42615. Factorizing a number into a given number of factors
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
Problem Comments
-
1 Comment
The hardest property is not described (but tested):
(f) There are no b integers with product n other than in the rows of M.
Solution Comments
Show commentsProblem Recent Solvers22
Suggested Problems
-
2328 Solvers
-
Remove the small words from a list of words.
1479 Solvers
-
How to find the position of an element in a vector without using the find function
2706 Solvers
-
Flag largest magnitude swings as they occur
676 Solvers
-
Are all the three given point in the same line?
413 Solvers
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!