Final answer:
To find the sum of the largest and smallest prime factors of 990, you need to factorize 990 into 2, 3, 5, and 11, where 2 is the smallest and 11 is the largest prime factor. Their sum is 13.
Step-by-step explanation:
Calculate the Sum of the Largest and Smallest Prime Factors
To find the sum of the largest and smallest prime factors of 990, we need to factor 990 into its prime factors. The number 990 can be broken down into 2 × 3 × 3 × 5 × 11. Here, the prime factors are 2, 3, 5, and 11. In this set, 2 is the smallest prime factor, and 11 is the largest prime factor, so we simply add them together to find the sum: 2 (smallest prime factor) + 11 (largest prime factor) = 13. Therefore, the sum of the largest and smallest prime factors of 990 is 13.