The number 345,600 can be expressed as 2^a*3^b*5^b for integers a, b and c. What is the value of the product abc?
\(\phantom{6^a5^b4^c}\)
345,600 =
3456 x 100 =
576 x 6 x 100 =
24^2 x 2 x 3 x 10^2 =
6^2 x 4^2 x 2 x 3 x 2^2 x 5^2 =
2^2 x 3^2 x 2^4 x 2 x 3 x 2^2 x 5^2=
2^9 * 3^3 * 5^2
abc = 9 * 3 * 2 = 54
