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Question

What is the largest power of 12 that would divide 49!

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Solution

To check the highest power of 12 in 49! we need to check the highest powers of 4 and 3 in it
Highest power of 3 in 49!=22
Highest power of 2 in 49!=46
Highest power of 4 in 49!=462=23
Highest power of 12 will be 22 (Since the common power between 3 and 4 is 22)

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