Highest Value Possible
Number Theory
Level
2
(15 ! / 3^m ) is an integer. What could be the highest possible integer value of m?
The answer is 6.
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15! Can be written as (5x3)x14x13x(3x4)x11x10x(3x3)x8x7x(2x3)x5x4x3x2x1. Count number of 3's in the product since 3 appears 6 times you can divide the product by 3^6