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Question
The sum of the exponents of the prime factors in the prime factorisation of 196, is
Options
1
2
4
6
Solution
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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