Q2 of 124 Page 1

Determine the prime factorization of each of the following positive integer:

(i) 20570 (ii) 58500


(iii) 45470971

(i) Prime factors of 20570 = 2 × 5 × 11 × 11 × 17


(ii) Prime factors of 58500 = 2 × 2 × 3 x 3 × 5 x 5 × 13


(iii) Prime factors of 45470971 = 7 × 7 × 13 x 13 × 17 × 17 × 19


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The length, breadth and height of a room are 8 m and 25 cm, 6 m 75 cm and 4 m 50 cm, respectively. Determine the longest rod which can measure the three dimensions of the room exactly.

 1

Express each of the following integers as a product of its prime factors:

(i) 420 (ii) 468


(iii) 945 (iv) 7325

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Check whether 6n can end with the digit 0 for any natural numbers n.