Prime Factorization Calculator

Decompose any integer into its prime factor tree, canonical exponent form (e.g. `360 = 2³ × 3² × 5`), and complete list of positive divisors.

Why Use This Tool?

• Number Theory & Cryptography: Analyze prime factor structures of numbers used in RSA cryptography.
• Math Education: Solve prime factor trees and prime factorizations for school math homework.
• Complete Divisors List: Instantly view all positive factors of any number.

How to Use

1. Enter any positive integer (e.g. `360`).
2. Click Factorize.
3. View prime factors, exponential prime representation, and total number of divisors.

Real Working Example

Input:

Number: 360

Output Result:

Prime Factors: 2, 2, 2, 3, 3, 5 | Exponent Form: 2³ × 3² × 5¹ | Total Divisors: 24 (1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360)

Important Technical Details & Formulas

• Trial Division & Wheel Factorization: Fast prime factor extraction for large integers.
• Prime Number Verification: Flags if the input number itself is a prime number.
• Local Memory Execution: Zero network overhead.

Related Mathematics & Financial Tools

• GCD & LCM Calculator: Compute greatest common divisor.
• Math Evaluator: Evaluate math expressions.
• Random Number Generator: Generate random integers.