Grokking the Coding Interview: Patterns for Coding Questions

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Solution: Factor Combinations

Problem Statement

Numbers can be regarded as the product of their factors.

For example, 8 = 2 x 2 x 2 = 2 x 4.

Given an integer n, return all possible combinations of its factors. You may return the answer in any order.

Example 1:

Input: n = 8  
Output: [[2, 2, 2], [2, 4]]

Example 2:

Input: n = 20  
Output: [[2, 2, 5], [2, 10], [4, 5]]

Constraints:

1 <= n <= 10<sup>7</sup>

Solution

We can use backtracking to find all the factors of a given number $n$ .

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