Question

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

(i) 48; (ii) 11280; (iii) 729; (iv) 1352.

Answer 1

(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.