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The number 345,600 can be expressed as 2^a*3^b*5^c for integers a, b and c.  What is the value of the product abc?

 

\(\phantom{6^a 5^b 4^c}\)

 Jul 8, 2022
 #1
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Try divisibility tricks! See what you can find and what postie integers divide into that number :)

 Jul 8, 2022
 #2
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345600 = 2^9 * 3^3 * 5^2

 

a + b + c==9 + 3 + 2 ==14

 Jul 8, 2022
 #3
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Minor issue, Guest. We are looking for the product and not the sum. :)

The answer would be 9 * 3 * 2 = 54. 

 Jul 8, 2022
edited by Voldemort  Jul 8, 2022

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