Free Practice Question
PS · Problem Solving
705-805
Divisibility/Multiples/Factors
n?k denotes the product of all integers from n to k, inclusive. If is an integer, what is the maximum value of integer m?
Answer Choices
Correct answer marked belowA
4
5
Correct
C
8
D
11
E
12
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Explanation
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Official Explanation
Official
6 = 2 * 3. Out of 2 and 3, the power of 3 will be less than the power of 2. Hence we can count the power of 3 to determine the power of 6.
We need the power of 3 in 92 * 93 * 94 ... * 102 * 103.…
We need the power of 3 in 92 * 93 * 94 ... * 102 * 103.…
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What it tests
Your understanding of divisibility rules, least common multiples, and greatest common factors.
Common trap
Forgetting that 1 is not prime and that every integer divides 0.
Details
Difficulty
705-805
Type
PS
Category