determine H.C.F of 240 using prime factors

To determine the **HCF (Highest Common Factor)** of 240 using prime factorization, we first need to perform the prime factorization of 240.

### Step 1: Prime Factorization of 240
We divide 240 by the smallest prime number (2) and continue the process with the quotient until we can no longer divide by 2, and then use the next prime numbers (3, 5, etc.).

Let's break it down:

1. **240 ÷ 2 = 120**  
2. **120 ÷ 2 = 60**  
3. **60 ÷ 2 = 30**  
4. **30 ÷ 2 = 15**  
5. **15 ÷ 3 = 5**  
6. **5 ÷ 5 = 1** (now we're done)

So, the **prime factorization of 240** is:

\[
240 = 2^4 \times 3 \times 5
\]

### Step 2: HCF Calculation
If you are looking to find the **HCF of 240 with another number**, you'd apply the same method to that number, and then identify the common prime factors. The HCF will be the product of the lowest powers of all common prime factors.

If you want to find the HCF of 240 with another number, let me know the second number, and we can proceed.

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Would you like any further details on prime factorization or HCF? Or do you have another question? 

Here are 5 related questions for practice:
1. How to find the LCM of two numbers using prime factorization?
2. What are the properties of HCF and LCM?
3. Can you find the HCF of 240 and 360 using prime factorization?
4. How do you calculate the HCF of multiple numbers (more than two)?
5. Why is 240 divisible by both 2 and 5?

Tip: To make prime factorization easier, always start with the smallest prime factor and work your way up!

Learn how to calculate the Highest Common Factor (HCF) of 240 by breaking it down into its prime factors. This step-by-step guide covers prime factorization and provides a solution for students in Grades 6-8.

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