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

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

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answer is D.

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Detailed Solution

Given the integer 98.
Factorize 98,
geogebra-export (15)

= 2 × 7 × 7

Input can be expressed in the form of each factors as,
98=

(2) 1 × (7) 2

Therefore, exponential power of 2 in the prime factorization of 98 is 1 and exponential power of 7 is 2.

∴

Sum of exponents = 1 + 2

⇒ 3

Therefore, sum of exponents when 98 is factorized is 3.
Hence the correct option is 4.

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