Question

5. Express each of the following as product of powers of their prime factors: (i) 648 (i) 405 (ii) 540 (iv) 3,600
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Answer 1

Answer:

2 648 3 405

2 324 3 135

2 162 3 45

3 81 3 15

3 27 5 5

3 9 1

3 3

1

2 540

2 270

3 135

3 45

3 15

5 5

1

2 3600

2 1800

2 900

2 450

2 225

3 75

5 25

5 5

1

Answer 2

Answer:

Hi mate ,

1) 648 = 2 × 2 × 2 × 3 × 3 × 3 × 3

648 = $2^{3}$ × $3^{4}$

2) 405 = 5 × 3 × 3 × 3 × 3

405 = $5^{1}$ × $3^{4}$

3) 540 = 2 × 2  × 3 × 3 × 3 × 5

540 = $2^{2}$ × $3^{3}$ × 5

4) 3600 = 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5

3600 = $2^{4}$ × $3^{2}$ × $5^{2}$

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