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The Sum of the Exponents of the Prime Factors in the Prime Factorisation of 196, is - Mathematics

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प्रश्न

The sum of the exponents of the prime factors in the prime factorisation of 196, is

विकल्प

  • 1

  • 2

  • 4

  • 6

MCQ

उत्तर

Using the factor tree for prime factorization, we have:

Therefore,

`196 = 2xx2xx7xx7`

`196 = 2^2xx7^2`

The exponents of 2 and 7 are 2 and 2 respectively.

Thus the sum of the exponents is  `4`

Hence the correct choice is (c).

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अध्याय 1: Real Numbers - Exercise 1.8 [पृष्ठ ५९]

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आरडी शर्मा Mathematics [English] Class 10
अध्याय 1 Real Numbers
Exercise 1.8 | Q 4 | पृष्ठ ५९

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