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Integers: Factor = Divisor

If $$z$$ is a positive integer, is $$z=5$$? >(1) $$z$$ is not a factor of $$42$$. >(2) The largest divisor of $$z$$ is $$5$$.
Correct. [[snippet]] Stat. (1) doesn't really limit $$z$$ to a single possible value. If you choose $$z=5$$, the number 5 is not a factor of 42, and so the answer is "Yes." However, if you choose $$z=10$$, the number 10 is not a factor of 42, and so the answer is also "No." That's a "Maybe," so **Stat.(1) → Maybe → IS → BCE**. With Stat. (2), obviously $$z$$ can be 5 since 5 is a divisor of itself, and therefore the answer is "Yes." Can you find a value of $$z$$ that gives an answer of "No"? If $$z=10$$, for example, then the largest divisor of $$z$$ is not 5 but 10, so $$z=10$$ does not satisfy the statement. The same goes for $$z=15$$, $$z=20$$, or any value for $$z$$ other than 5 since each number is also a divisor of itself. Therefore, $$z$$ must equal 5, and **Stat.(2) → S → B**.
Incorrect. [[snippet]] Stat. (1) doesn't really limit $$z$$ to a single possible value. If you choose $$z=5$$, the number 5 is not a factor of 42, and so the answer is "Yes." However, if you choose $$z=10$$, the number 10 is not a factor of 42, and so the answer is also "No." That's a "Maybe," so **Stat.(1) → Maybe → IS → BCE**.
Incorrect. [[snippet]] With Stat. (2), obviously $$z$$ can be 5 since 5 is a divisor of itself, and therefore the answer is "Yes." Can you find a value of $$z$$ that gives an answer of "No"? If $$z=10$$, for example, then the largest divisor of $$z$$ is not 5 but 10, so $$z=10$$ does not satisfy the statement. The same goes for $$z=15$$, $$z=20$$, or any value for $$z$$ other than 5 since each number is also a divisor of itself. Therefore, $$z$$ must equal 5, and **Stat.(2) → S → BD**.
Statement (1) ALONE is sufficient, but Statement (2) alone is not sufficient to answer the question asked.
Statement (2) ALONE is sufficient, but Statement (1) alone is not sufficient to answer the question asked.
BOTH Statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.
EACH statement ALONE is sufficient to answer the question asked.
Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.