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Which option is the correct prime factorisation of (675)?

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Answer and explanation

Correct answer: (3^3 \times 5^2)

Step 1: Write (675) as (27 \times 25). Step 2: (27=3^3) and (25=5^2), so (675=3^3 \times 5^2). Step 3: Splitting a number into familiar squares and cubes is a good method.

Related tags

Real-NumbersPrime-Factorisation675

Frequently asked questions

What is the correct answer to this question?

(3^3 \times 5^2)

Why is this the correct answer?

Step 1: Write (675) as (27 \times 25). Step 2: (27=3^3) and (25=5^2), so (675=3^3 \times 5^2). Step 3: Splitting a number into familiar squares and cubes is a good method.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Prime Factorisation.

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