Find All Factors of 12: A Comprehensive Guide

Write all the factors of the following number: 12 12

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Find all prime factors of the number
00:03 The ones digit is 2, therefore 2 is definitely a prime factor
00:07 Divide by 2, and continue with the result to find the factors
00:12 The ones digit is 6, therefore 2 is definitely a prime factor
00:15 Divide by 2, and continue with the result to find the factors
00:18 The result is a prime number, therefore it's a factor by itself
00:21 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Write all the factors of the following number: 12 12

2

Step-by-step solution

To find all the factors of 12, we will perform a prime factorization:

  • Start with the smallest prime number, 2. Since 12 is divisible by 2, we divide 12 by 2:
    • 12÷2=6 12 \div 2 = 6
  • Next, we have 6, which is also divisible by 2:
    • 6÷2=3 6 \div 2 = 3
  • Now we are left with 3, which is a prime number and divisible by itself:
    • 3÷3=1 3 \div 3 = 1

Since we reached 1, the division process stops.

Therefore, the prime factors of 12 are 2,2, 2, 2, and 3 3 .

Expressing 12 using these factors: 12=2×2×3 12 = 2 \times 2 \times 3 .

Thus, the correct list of factors is given by choice 2: 3,2,2 3, 2, 2 .

3

Final Answer

3,2,2 3,2,2

Practice Quiz

Test your knowledge with interactive questions

Write all the factors of the following number: \( 5 \)

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Division - Advanced questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations