Find the largest perfect square factor of each of the following numbers:
(i) 48; (ii) 11280; (iii) 729; (iv) 1352
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Step-by-step explanation:
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Step-by-step explanation:
i) 48 = 3 × 4 × 4
4 × 4 = 16
Hence, the largest perfect square factor of 48 is 16.
(ii) 11280 = 2 × 2 × 2 × 2 × 5 × 141
2 × 2 × 2 × 2 = 16
Hence, the largest perfect square factor of 11280 is 16.
(iii) 729 = 3 × 3 × 3 × 3 × 3 × 3
Hence, the largest perfect square factor of 729 is 729 itself.
(iv) 1352 = 2 × 2 × 2 × 13 × 13
2 × 2 × 13 × 13 = 676
Hence, the largest perfect square factor of 1352 is 676.
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