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The sum of exponents of prime factors in the prime-factorisation of 196 is ______. - Mathematics

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Question

The sum of exponents of prime factors in the prime-factorisation of 196 is ______.

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  • 3

  • 4

  • 5

  • 2

MCQ
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Solution

The sum of exponents of prime factors in the prime-factorisation of 196 is 4.

Explanation:

Prime factors of 196 = 22 × 72

2 196
2 98
7 49
7 7
  1

∴ The sum of exponents of prime factor = 2 + 2 = 4.

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