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How many prime factors do 16200 have?

A9

B10

C8

D11

Answer:

A. 9

Read Explanation:

16200=162×10016200=162\times100

100=22×52100=2^2\times5^2

162=2×34162=2\times3^4

16200=23×34×5216200=2^3\times3^4\times5^2

The number of prime factors is sum of the powers = 3 +4 +2 = 9.


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