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?

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

Try divisibility tricks! See what you can find and what postie integers divide into that number :)

345600 = 2^9 * 3^3 * 5^2

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

Minor issue, Guest. We are looking for the product and not the sum. :)

The answer would be 9 * 3 * 2 = 54.