Difference between revisions of "2024 AMC 8 Problems/Problem 16"
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==Video Solution 1 (easy to digest) by Power Solve== | ==Video Solution 1 (easy to digest) by Power Solve== | ||
https://youtu.be/zxkL4c316vg | https://youtu.be/zxkL4c316vg | ||
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| + | ==Video Solution 2 by OmegaLearn.org== | ||
| + | https://youtu.be/xfiPVmuMiXs | ||
Revision as of 12:57, 26 January 2024
Contents
Problem 16
Minh enters the numbers 
through 
into the cells of a 
grid in some order. She calculates the product of the numbers in each row and column. What is the least number of rows and columns that could have a product divisible by 
?
Solution
These are just left here for future conveniency. “We know that if a row/column of numbers has a single multiple of 3, that entire row/column will be divisible by 3. Since there are 27 multiples of 3 from 1 to 81, We need to find a way to place the 54 non-multiples of 3 such that they take up as many entire rows and columns as possible.”
