Question
Write the exponent of $2$ in the price factorization of $144.$

Answer

Using the factor tree for prime factorization, we have:



$144 = 2 \times 2 \times 2 \times 2 \times 3 \times 3 144 = 2^4 \times 3^2$​​​​​​​
Hence the exponent of $2$ in $144$ is $4$.

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