Factorization Breakdown: Listing All Factors of 99

Write all the factors of the following number: 99 99

❤️ 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 the prime factors of the number
00:04 Split the digits and multiply them together
00:07 Divide this product by a prime factor
00:13 Possible, therefore this factor is a factor of the number
00:16 Divide by 3, and continue with the result to find the factors
00:23 The ones digit is 3, therefore 3 is definitely a prime factor
00:27 Divide by 3, and continue with the result to find the factors
00:31 And the result is a prime number, therefore it's a factor by itself
00:34 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: 99 99

2

Step-by-step solution

To solve this problem of finding the factors of 99 99 , we will apply the process of prime factorization step-by-step:

Step 1: Begin with the smallest prime number, which is 2 2 . Since 99 99 is odd, it is not divisible by 2 2 . Therefore, we proceed to the next prime number, 3 3 .

Step 2: Check divisibility by 3 3 . The sum of the digits of 99 99 is 9+9=18 9 + 9 = 18 , which is divisible by 3 3 , indicating that 99 99 is divisible by 3 3 . Performing the division, we have:

99÷3=33 99 \div 3 = 33

Step 3: We have 33 33 now. Check for divisibility by 3 3 again, as 33÷3=11 33 \div 3 = 11 . Now, 11 11 is left, which is a prime number. Therefore, we have our factors.

The prime factorization of 99 99 is:

99=3×3×11 99 = 3 \times 3 \times 11

These numbers are the prime factors of 99 99 . Thus, the correct choice from the options provided is:

11,3,3 11, 3, 3 .

3

Final Answer

11,3,3 11,3,3

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