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Find the largest perfect square factor of each of the following numbers.

(i) 48

(ii) 11280

(iii) 729

(iv) 1352

1 Answer

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Best answer

(i) 48

48 = 2 × 2 × 2 × 2 × 3 

48 = 16 × 3 

∴ Largest perfect square factor is 16.

(ii) 11280

11280 = 2 × 2 × 2 × 2 × 3 × 5 × 47 

= 16 × 3 × 5 × 47

∴ Largest perfect square factor is 16.

(iii) 729

729 = 3 × 3 × 3 × 3 × 3 × 3 

= 27 × 27 

= 729

∴ Largest perfect square factor is 729.

(iv) 1352

1352 = 2 × 2 × 2 × 13 × 13 

= 2 × 13 × 2 × 3 × 2 

= 26 × 26 × 2 

= 676 × 2

∴ The largest perfect square factor is 676

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