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How many factors of (2^3 \times 3^2 \times 5) will be even?
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Answer and explanation
Correct answer: 18
Step 1: An even factor must have exponent of (2) at least (1). Step 2: (2) has (3) choices (1,2,3), (3) has (3) choices (0,1,2), and (5) has (2) choices (0,1). Total (18). Step 3: While counting even factors, do not take exponent (0) for (2).
Frequently asked questions
What is the correct answer to this question?
18
Why is this the correct answer?
Step 1: An even factor must have exponent of (2) at least (1). Step 2: (2) has (3) choices (1,2,3), (3) has (3) choices (0,1,2), and (5) has (2) choices (0,1). Total (18). Step 3: While counting even factors, do not take exponent (0) for (2).
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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