$${ 289 }^{ 2 } { 9 }^{ 2 } { 82 }^{ 2 } =$$
$45489211524$
$$83521\times 9^{2}\times 82^{2}$$
$$83521\times 81\times 82^{2}$$
$$6765201\times 82^{2}$$
$$6765201\times 6724$$
$$45489211524$$
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$2^{2}\times 3^{4}\times 17^{4}\times 41^{2}$