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Question

If  10800=2a × 3b × 5c then find the value of a, b and c.


  1. a=4, b=3, c=2

  2. a=3, b=3, c=2

  3. a=4, b=2, c=2

  4. a=1, b=3, c=2


Solution

The correct option is A

a=4, b=3, c=2


Given

10800=2a × 3b × 5c 

10800 can be written as a product of its primes as follows

10800 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5

  24 × 33 × 52

24 × 33 × 52=  2a × 3b × 5c 

  a=4, b=3, c=2

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