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Write the exponent of 2 in the prime factorization of 144.

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Question

Write the exponent of 2 in the prime factorization of 144.

Numerical
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Solution

Using the factor tree for prime factorization, we have:

`144=2xx2xx2xx2xx3xx3`

`144=2^4xx3^2`

Hence the exponent of 2 in 144 is 4.

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Chapter 1: Real Numbers - VERY SHORT ANSWER TYPE QUESTIONS (VSAQs) [Page 1.42]

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R.D. Sharma Mathematics [English] Class 10
Chapter 1 Real Numbers
VERY SHORT ANSWER TYPE QUESTIONS (VSAQs) | Q 4. | Page 1.42
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