

How to Find Prime Factors Step by Step with Examples
What is Prime Factors Calculator?
The Prime Factors Calculator is an easy tool that breaks down any whole number into only prime numbers that multiply together to give the original value. It transforms complicated numbers into their simplest building blocks, called prime factors.
This simple calculator quickly reveals the prime numbers in multiplication, making math problems such as HCF or LCM much easier. Getting instant, detailed results helps students check their work or understand number factorization steps.
Formula Behind Prime Factors Calculator
To find the prime factorization, start with the smallest prime (2) and divide repeatedly. If a prime doesn’t divide the number, move to the next bigger one. Continue until the result is 1. This gives the unique set of prime numbers whose product equals the input.
Prime Factors Conversion Table
Input Number | Prime Factors |
---|---|
12 | 2 × 2 × 3 |
18 | 2 × 3 × 3 |
24 | 2 × 2 × 2 × 3 |
30 | 2 × 3 × 5 |
36 | 2 × 2 × 3 × 3 |
40 | 2 × 2 × 2 × 5 |
42 | 2 × 3 × 7 |
49 | 7 × 7 |
60 | 2 × 2 × 3 × 5 |
100 | 2 × 2 × 5 × 5 |
Steps to Use Prime Factors Calculator
- Enter the number (greater than 1) you want to break into prime factors.
- Click "Calculate" to run the factorization.
- View instant results with all prime factors and each calculation step.
Why Use Vedantu’s Prime Factors Calculator?
With this calculator, you get instant, error-free prime factorization and the detailed division trail. It works fast on mobile or desktop, saves time on homework, and makes even large numbers simple to factor.
Students benefit from step-by-step output, making it easy to follow classroom logic at home. This tool matches school methods, helps for quick HCF or LCM calculation, and is always available for last-minute exam practice.
Applications of Prime Factors Calculator
Prime factorization is vital for reducing fractions, finding LCM and HCF in schoolwork, or understanding the unique properties of numbers. It's also used in mathematical puzzles and coding systems.
From solving HCF/LCM questions to cryptography or simplifying ratios, this calculator saves effort for teachers and learners. For foundational understanding, use it along with our prime numbers guide or explore number factors in detail.
For further reference on multiplication tricks, see our multiplication tool or practice with real exam questions in the Tables 1 to 100 section.
FAQs on Calculate Prime Factors Online
1. What are prime factors?
2. How do I find the prime factors of a number?
3. What are the prime factors of 40?
4. What is the prime factorization of 42?
5. What is the difference between factors and prime factors?
6. How can I use a prime factors calculator?
7. What are some real-world applications of prime factorization?
8. What is the prime factorization method?
9. Why is prime factorization important in mathematics?
10. How does the Fundamental Theorem of Arithmetic relate to prime factors?
11. What are the prime factors of 100?
12. Is there a limit to the size of numbers I can factorize using the calculator?











