Factorization Breakdown: Listing All Factors of 99

Question

Write all the factors of the following number: 99 99

Video Solution

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 .

Answer

11,3,3 11,3,3