5. Tyler is thinking of a number that is divisible by 2 and by 3 . Write another number by which Tyler's number must also be divisible.

Question

UpStudy AI · Accepted Answer

To determine another number by which Tyler's number must also be divisible, we start with the known conditions:

1. Tyler's number is divisible by 2.
2. Tyler's number is divisible by 3.

When a number is divisible by both 2 and 3, it is also divisible by their least common multiple (LCM).

To find the LCM of 2 and 3:

- The prime factorization of 2 is $$2^1$$.
- The prime factorization of 3 is $$3^1$$.

The LCM is found by taking the highest power of each prime factor:

$$
\text{LCM}(2, 3) = 2^1 \times 3^1 = 6
$$

Thus, Tyler's number must also be divisible by 6.

In conclusion, another number by which Tyler's number must also be divisible is **6**.
Tyler's number must also be divisible by 6.

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