Question

Express 3600 as a product of power of prime factors

Answer 1

3600 as a product of power of prime factors = $2^{4} \times 3^{2} \times 5^{2}$

Step-by-step explanation:

We have,

3600

To express 3600 as a product of power of prime factors = ?

∴ 3600

= 2 × 1800

= 2 × 2 × 900

= 2 × 2 × 2 × 450

= 2 × 2 × 2 × 2 × 225

= 2 × 2 × 2 × 2 × 3 × 75

= 2 × 2 × 2 × 2 × 3 × 3 × 25

= 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5

The product of prime factors of 360 = 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5

∴ 3600 as a product of power of prime factors = $2^{4} \times 3^{2} \times 5^{2}$

Answer 2

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