Computer Mathematics Program to Count Distinct Prime Factors with Explanation
Computer Mathematics
Medium
Primes & Factorization
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1 min read
76 words
This problem helps you practice core Computer Mathematics fundamentals in a practical way. It builds intuition around count, distinct, prime. Let’s break it down step by step so you can implement it confidently.
Problem Statement
Given n, print how many distinct primes divide it.
Input Format
One integer n.
Output Format
One integer count.
Constraints
2
Code Solution
This explanation is written for learning purposes and to help beginners understand the concept clearly.
Trial divide; when p divides, increment count and divide fully. If leftover>1 add 1.
Common Mistakes
- Treating 1 as prime.
- Checking divisibility up to n instead of sqrt(n).
- Missing negative/zero inputs handling.
Solution Guide
Problem
Given n, print how many distinct primes divide it.
Input / Output
Output
One integer count.
Details
Common Mistakes
- Treating 1 as prime.
- Checking divisibility up to n instead of sqrt(n).
- Missing negative/zero inputs handling.
Difficulty
Medium
Computer Mathematics
Official Solution
Trial divide; when p divides, increment count and divide fully. If leftover>1 add 1.
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