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A number has prime factorisation (2^3\times3^2\times5^4). How many of its factors are divisible by (5)?
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Answer and explanation
Correct answer: (48)
Step 1: A factor divisible by (5) must have power of (5) at least (1). Step 2: Choices are (4) for (2), (3) for (3), and (4) for (5). Total (=4\times3\times4=48). Step 3: Do not include zero power for the required prime.
Frequently asked questions
What is the correct answer to this question?
(48)
Why is this the correct answer?
Step 1: A factor divisible by (5) must have power of (5) at least (1). Step 2: Choices are (4) for (2), (3) for (3), and (4) for (5). Total (=4\times3\times4=48). Step 3: Do not include zero power for the required prime.
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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