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Write the sum of the exponents of prime factors in the prime factorization of 98.

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Question

Write the sum of the exponents of prime factors in the prime factorization of 98.

Sum
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Solution

Using the factor tree for prime factorization, we have:


Therefore,

`98=2xx7xx7`

`98=2xx7^2`
The exponents of 2 and 7 are 1 and 2 respectively.

Hence the sum of the exponents is 3.

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Chapter 1: Real Numbers - VERY SHORT ANSWER TYPE QUESTIONS (VSAQs) [Page 1.43]

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R.D. Sharma Mathematics [English] Class 10
Chapter 1 Real Numbers
VERY SHORT ANSWER TYPE QUESTIONS (VSAQs) | Q 5. | Page 1.43
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