MTTC 103 Elementary Practice Exam 2025 – All-in-One Guide for Comprehensive Exam Success

To determine which expression consists solely of the prime factors 3, 5, and 11, it is beneficial to analyze the prime factorization of each of the expressions provided.

Starting with the correct answer, when considering 15 and 99, the factorization works out as follows:

- 15 can be factored into 3 and 5, both of which are prime factors included in our target set.

- 99 can be factored into 3 and 11 (since 99 = 3^2 x 11).

Combining these, we find that the complete factorization of 15 x 99 gives us 3, 5, and 11 as the only prime factors, confirming that this expression meets the criteria set by the question.

In contrast, examining the other options reveals the presence of prime factors outside of the specified set:

- The first option, 66 x 108, breaks down into prime factors that include 2 and 3, as well as 11, thus introducing a factor (2) that isn't present in our limited set.

- The third option, 42 x 29, includes a factor of 29, which is not one of the required prime