0 reads0 ratings0 helpful
How many factors of (2^2 \times 3^2 \times 7^2) are perfect squares?
Advertisement
Answer and explanation
Correct answer: 8
Step 1: In a square factor, every prime exponent must be even. Step 2: For each prime, the exponent can be (0) or (2), giving (2) choices. Total (2 \times 2 \times 2=8). Step 3: Count even exponent choices separately and multiply.
Frequently asked questions
What is the correct answer to this question?
8
Why is this the correct answer?
Step 1: In a square factor, every prime exponent must be even. Step 2: For each prime, the exponent can be (0) or (2), giving (2) choices. Total (2 \times 2 \times 2=8). Step 3: Count even exponent choices separately and multiply.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Prime Factorisation.
Student feedback
Was this question useful?
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Difficulty
Easy0%
Medium0%
Hard0%
Was the explanation clear?
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
Advertisement