Question

Express each of the following as product of powers of their prime factors i) 448 ) 400 i) 1080 iv) 2500​

Answer 1

Answer:

Step-by-step explanation:

i) 448 = 2 × 2 × 2 × 2 × 2 × 2 × 7

ii) 400 = 2 × 2 × 2 × 2 × 5 × 5

iii) 1080 = 2 × 2 × 2 × 3 × 3 × 3 × 5

iv) 2500 = 2 × 2 × 5 × 5 × 5 × 5

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Answer 2

Given:

i) 448 ii) 400 iii) 1080 iv) 2500​

To find:

Express each of the following as product of powers of their prime factors

Solution:

• Prime factors are the numbers that are divisible by 1 and the number itself.

i) 448

Prime factors of 448

448 = 2 × 2 × 2 × 2 × 2 × 2 × 7 = $2^{6}$ x 7

ii) 400

Prime factors of 400

400 = 2 × 2 × 2 × 2 × 5 × 5 = $2^{4}$ x $5^{2}$

iii) 1080

Prime factors of 1080

1080 = 2 × 2 × 2 × 3 × 3 × 3 × 5 = $2^{ 3}$ x $3^{3}$ x 5

iv) 2500​

Prime factors of 2500

2500 = 2 × 2 × 5 × 5 × 5 × 5 = $2^{2}$ x $5^{4}$