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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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