What is the exponent of (7) in the prime factorisation of (840)?
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Answer and explanation
Correct answer: (1)
Step 1: Write (840=84 \times 10). Step 2: Since (84=2^2 \times 3 \times 7) and (10=2 \times 5), (840=2^3 \times 3 \times 5 \times 7). The exponent of (7) is (1). Step 3: A prime appearing once has exponent (1).
Frequently asked questions
What is the correct answer to this question?
(1)
Why is this the correct answer?
Step 1: Write (840=84 \times 10). Step 2: Since (84=2^2 \times 3 \times 7) and (10=2 \times 5), (840=2^3 \times 3 \times 5 \times 7). The exponent of (7) is (1). Step 3: A prime appearing once has exponent (1).
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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