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Which of the following can be written as a rational p/q in lowest terms with q having ONLY 2 as a prime factor?
A1/3
B1/12
C1/8
D1/15
Answer & Solution
Correct answer: C. 1/8
1/8 = 1/2³ — denominator has only prime 2. 12 = 2² × 3 (has 3); 15 = 3 × 5 (has 3, 5); 3 = 3 (has 3). Only 1/8 fits the criterion. Note: 1/8 = 0.125 (terminating decimal — predictable from this property).
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