Q.5.   Express each of the following as product of powers of their prime factors:

          (i) 648    (ii) 405    (iii) 540   (iv) 3,600

Answers (1)
M mansi

(i) 648

   

2 648
2 324
2 162
2 81
3 27
3 9
3 3
  1

648=2^3\times 3^4

(ii) 405

   

5 405
3 81
3 27
3 9
3 3
  1

      405=5\times 3^4

(iii)540

           

2 540
2 270
3 135
3 45
3 15
5 5
  1

540=2^2\times 3^3\times 5

(iv) 3600

2 3600
2 1800
2 900
2 450
3 225
3 75
5 25
5 5
  1

3600=2^4\times 3^2\times 5 ^2

 

 

 

 

 

 

 

 

 

 

 

 

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