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题库 / Prep2007E2-DS-166
If the prime numbers p and t are the only prime factors of the integer m, is m a multiple of p2t ?
(1) m has more than 9 positive factors.
(2) m is a multiple of p3.
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
EACH statement ALONE is sufficient.
Statements (1) and (2) TOGETHER are NOT sufficient.
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m is a multiple of pt
since m is also a multiple of p3, then m must be a multiple of p2. (e,g. p=2, m can be divided by 8, then m can also be divided by 4.)
so m is a multiple of p2t
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