If a number has prime factorisation (2^3 \times 3^2 \times 5), how many trailing zeros will it have?
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Answer and explanation
Correct answer: 1
Step 1: A trailing zero comes from a pair (10=2 \times 5). Step 2: The exponent of (2) is (3) and of (5) is (1), so there is (1) pair. Step 3: For trailing zeros, take the smaller exponent of (2) and (5).
Frequently asked questions
What is the correct answer to this question?
1
Why is this the correct answer?
Step 1: A trailing zero comes from a pair (10=2 \times 5). Step 2: The exponent of (2) is (3) and of (5) is (1), so there is (1) pair. Step 3: For trailing zeros, take the smaller exponent of (2) and (5).
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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