Question

express the following numbers as the product of power of prime factor 1-72 2-432 3-1000 4-16000

Answer 1

Here is your answer....

72 = 2×2×2×3×3

432 = 2×2×2×2×3×3×3

1000 = 2×2×2×5×5×5

16000 =2×2×2×2×2×2×2×5×5×5

Hoping to be helpful....

Answer 2

Solution:

Express the following numbers as a product of powers of prime factors:

(1) 72

→ 72 = 2 × 36 = 2 × 2 × 18

→ 2 × 2 × 2 × 9

→ 2 × 2 × 2 × 3 × 3 = 2³ × 3²

→ 72 = 2³ × 3²

(2) 432

→ 432 = 2 × 216 = 2 × 2 × 108 = 2 × 2 × 2 × 54

→ 2 × 2 × 2 × 2 × 27 = 2 × 2 × 2 × 2 × 3 × 9

→ 2 × 2 × 2 × 2 × 3 × 6 × 3

→ 432 = 2^4 × 3^3

(3) 1000

→ 1000 = 2 × 500 = 2 × 2 × 250 = 2 × 2 × 2 × 125

→ 2 × 2 × 2 × 5 × 25 = 2 × 2 × 2 × 5 × 5 × 5

→ 1000 = 2³ × 5³

(4) 16,000

→ 16,000 = 16 × 1000 = (2 × 2 × 2 × 2) × 1000 = 2^4 × 10³

→ (2 × 2 × 2 × 2) × (2 × 2 × 2 × 5 × 5 × 5) = 2^4 × 2³ × 5³

→ 100 = 2 × 2 × 2 × 5 × 5 × 5

→ (2 × 2 × 2 × 2 × 2 × 2 × 2) × (5 × 5 × 5)

→ 26,000 = 2^7 × 5³

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