Prime Factorization Calculator
Enter a number to find its **prime factorization**.
Prime Factors:
Prime Factorization Calculator - A Complete Guide
A **Prime Factorization Calculator** is a mathematical tool that helps break down a number into its prime factors, which are numbers that are only divisible by **1 and themselves**.
What is Prime Factorization?
Prime factorization is the process of expressing a number as a product of its **prime numbers**. It is useful in simplifying fractions, finding the greatest common factor (GCF), and solving other mathematical problems.
How to Find Prime Factors?
1. Start with the smallest prime number **(2)** and divide the given number by it.
2. If divisible, continue dividing by **2** until it no longer divides evenly.
3. Move to the next prime number **(3, 5, 7, etc.)** and repeat the process.
4. Continue until the number reduces to **1**.
Example Calculations
Example 1: Find the prime factorization of **60**.
Step 1: **60 ÷ 2 = 30**
Step 2: **30 ÷ 2 = 15**
Step 3: **15 ÷ 3 = 5**
Since **5** is a prime number, we stop.
Result:** 60 = 2 × 2 × 3 × 5
Example 2: Find the prime factorization of **84**.
Step 1: **84 ÷ 2 = 42**
Step 2: **42 ÷ 2 = 21**
Step 3: **21 ÷ 3 = 7**
Since **7** is a prime number, we stop.
Result:** 84 = 2 × 2 × 3 × 7
Real-Life Applications of Prime Factorization
- Used in **cryptography and encryption**.
- Essential for **finding the greatest common factor (GCF) and least common multiple (LCM)**.
- Helps in **simplifying fractions and solving algebraic expressions**.
Formula Reference
✔ **Prime Factorization Rule:** Start with **2**, then move to the next smallest prime (3, 5, 7, etc.) until reaching **1**.
Our **Prime Factorization Calculator** simplifies these calculations, making it a must-have tool for **students, teachers, and professionals**.
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