What is the highest power of 3 that divides 252?
Question
What is the highest power of 3 that divides 252?
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Solution
To find the highest power of 3 that divides 252, we need to factorize 252.
Step 1: Factorize 252 252 = 2 * 2 * 3 * 3 * 7
Step 2: Identify the power of 3 From the factorization, we can see that the power of 3 in 252 is 2 (since 3*3 = 9).
So, the highest power of 3 that divides 252 is 2.
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