Prime Factorization
Easy
math
prime-numbers
factorization
Problem Description
Find all prime factors of a given number and their powers.
Input Format
A single positive integer n
Output Format
Prime factors with powers in format "prime^power", space-separated
Constraints
2 ≤ n ≤ 10^6
Sample Input/Output
Input:
60
Output:
2^2 3^1 5^1
Explanation
60 = 2² × 3¹ × 5¹
Solution Hints
- Read carefully: Understand input/output format and constraints
- Start simple: Think of brute force solution first, then optimize
- Edge cases: Consider empty inputs, single elements, max constraints
- Data structures: Choose arrays, hash maps, sets based on problem needs
- Time complexity: Ensure your solution fits within time limits
- Test examples: Verify logic with provided sample inputs
110
Points
Points
2000ms
Time Limit
Time Limit
256MB
Memory Limit
Memory Limit
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