If a number has prime factorisation (2^6\times3^5\times7^4\times11^3\times13^2), how many distinct prime factors does it have?
Answer and explanation
Correct answer: 5
Step 1: While counting distinct primes, only bases are counted. Step 2: The bases are 2, 3, 7, 11, and 13. Step 3: Therefore, the number of distinct prime factors is 5.
Frequently asked questions
What is the correct answer to this question?
5
Why is this the correct answer?
Step 1: While counting distinct primes, only bases are counted. Step 2: The bases are 2, 3, 7, 11, and 13. Step 3: Therefore, the number of distinct prime factors is 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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