Question

Sam sent an E-mail to 3 friends on Monday. Each of the friends then sent an E-mail to 3 friends on Tuesday. On Wednesday, each of those friends then sent an E-mail to 3 friends. Write the prime factorization of the number of E-mails that were sent on Wednesday. A. 3 × 3 B. 3 × 3 × 2 C. 3 × 3 × 3 × 3 D. 3 × 3 × 3

Answer 1

Answer: D. 3 × 3 × 3

Explanation:

Email to 3 friends on Monday = 3

Each of the 3 sent to 3 others = 3 + 3 + 3 = 9

Each of the 9 sent to 3 others = 3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 = 27

Also ; 3 in 3 different stages which can be modeled as ;

3^3 = 3 * 3 * 3 = 27