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The Exponent of 2 in the Prime Factorisation of 144, is - Mathematics

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Question

The exponent of 2 in the prime factorisation of 144, is

Options

  • 4

  • 5

  • 6

  • 3

MCQ

Solution

Using the factor tree for prime factorization, we have:

Therefore,

`144 =2xx2xx2xx2xx3xx3`

`144=2^4xx3^2`

Thus, the exponent of 2 in 144 is 4.

Hence the correct choice is (a).

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Chapter 1: Real Numbers - Exercise 1.8 [Page 59]

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RD Sharma Mathematics [English] Class 10
Chapter 1 Real Numbers
Exercise 1.8 | Q 1 | Page 59

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