0 reads0 ratings0 helpful
If a number has prime factorisation (2^6\times3^4\times5^3\times7), how many prime factors are there if repetition is counted?
Advertisement
Answer and explanation
Correct answer: 14
Step 1: To count with repetition, add the exponents. Step 2: (2^6) gives 6, (3^4) gives 4, (5^3) gives 3, and 7 gives 1 factor. Step 3: Total (6+4+3+1=14), so the answer is 14.
Frequently asked questions
What is the correct answer to this question?
14
Why is this the correct answer?
Step 1: To count with repetition, add the exponents. Step 2: (2^6) gives 6, (3^4) gives 4, (5^3) gives 3, and 7 gives 1 factor. Step 3: Total (6+4+3+1=14), so the answer is 14.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Fundamental Theorem of Arithmetic.
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