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4\sqrt{1973}
Tauwehea te 31568=4^{2}\times 1973. Tuhia anō te pūtake rua o te hua \sqrt{4^{2}\times 1973} hei hua o ngā pūtake rua \sqrt{4^{2}}\sqrt{1973}. Tuhia te pūtakerua o te 4^{2}.