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Powerful number
144000 = 2 7 × 3 2 × 5 3 = 2 3 × 2 4 × 3 2 × 5 3 = ( 2 × 5 ) 3 × ( 2 2 × 3 ) 2 {\displaystyle {\begin{aligned}144000&=2^{7}\times 3^{2}\times 5^{3}\\&=2^{3}\times 2^{4}\times 3^{2}\times 5^{3}\\&=(2\times 5)^{3}\times (2^{2}\times 3)^{2}\end{aligned}}}
Products, Mathematical properties & Sums and differences of powerful numbers