Prime Factorization Calculator
Find the prime factors of any number.
Result
Enter a number to see its prime factors here.
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How to Find Prime Factors
- Divide by Smallest Prime: Start dividing the number by 2, then 3, 5, 7, etc., until the result is 1.
- Repeat for Each Factor: Each time a prime divides evenly, record it and divide again.
Example: Prime factors of 120 are 2 × 2 × 2 × 3 × 5.
How to Build Skills with Prime Factorization
- Practice with Different Numbers: Try factorizing small and large numbers.
- Use Factor Trees: Draw a tree to break down numbers into their prime factors visually.
- Apply in Real Life: Use prime factorization for simplifying fractions and cryptography.
- Understand Primes: Learn to recognize prime numbers and their properties.
Example: Prime factorization of 84: 84 ÷ 2 = 42, 42 ÷ 2 = 21, 21 ÷ 3 = 7, 7 is prime. So, 84 = 2 × 2 × 3 × 7.
Frequently Asked Questions
Prime factorization is the process of expressing a number as a product of its prime factors.
To find the prime factors, divide the number by the smallest prime (2) and continue dividing by primes until the result is 1.
Prime factorization is used in simplifying fractions, cryptography, and solving problems in number theory.