Q5 of 67 Page 93

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

(i) 48


(ii) 11280


(iii) 729


(iv) 1352

(i) 48


48 = 2 ×2 × 2 × 2 × 3


48 = 16 × 3


Hence largest perfect square factor is 16


(ii) 11280


11280 = 2 ×2 × 2 × 2 × 5 × 3 × 47


11280 = 16 × 705


Hence largest perfect square factor is 16


(iii) 729


729 = 3 ×3 × 3 × 3 × 3 × 3


729 = 729


Hence largest perfect square factor is 729


(iv) 1352


1352 = 2 ×2 × 2 × 13 × 13


1352 = 2 × 676


Hence largest perfect square factor is 676


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