The prime factorization of 99 is 3 x 3 x 11, or simply written as 32 x 11.
To find the prime factorization, we start by dividing the number by the smallest prime number. In this case, 99 is an odd number and not divisible by 2. The next prime number is 3. When we divide 99 by 3, we get 33. Then we continue factoring 33.
33 can also be divided by 3, giving us 11. Now we have:
- 99 = 3 x 33
- 33 = 3 x 11
This gives us: 99 = 3 x 3 x 11. Since 3 and 11 are both prime numbers, we have fully factored 99. We can also express this in exponent form as 32 x 11. Therefore, the prime factorization of 99 is complete!