Question

Determine the prime factorization of each of the following positive integer :
20570
58500
45470971

Answer 1

SOLUTION :  

(i) Given number = 20570

20570 = 2 x 5 x 11 x 11 x 17 = 2 x 5 x 11² x 17

Hence, the Prime factorisation of 20570 can be expressed  as 2 x 5 x 11² x 17.

 

(ii) Given number = 58500

58500 = 2 x 2 x 3 x 3 x 5 x 5 x 5 x 13 = 2² × 3² × 5³ × 13

Hence, the Prime factorisation of 58500 can be expressed as 2² × 3² × 5³ × 13

 

(iii) Given number = 45470971

45470971 = 7 x 7 x 13 x 13 x 17 x 17 x 19 = 7² × 13² × 17² × 19

Hence, the Prime factorisation of 45470971 can be expressed as 7² × 13² × 17² × 19.

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Answer 2

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