Advertisements
Advertisements
Question
If 13824 = 2a × 3b then find a and b
Advertisements
Solution
If 13824 = 2a × 3b
Using the prime factorization tree
13824 = 29 × 33
Given 13824 = 2a × 3b
Compare we get a = 9 and b = 3
Aliter:
13824 = 29 × 33
Compare with
13824 = 2a × 3b
The value of a = 9 b = 3
APPEARS IN
RELATED QUESTIONS
Consider the number 6n where n is a natural number. Check whether there is any value of n ∈ N for which 6n is divisible by 7.
Explain why 7 × 11 × 13 + 13 and 7 × 6 × 5 × 4 × 3 × 2 × 1 + 5 are composite numbers.
Find the LCM and HCF of the following integers by applying the prime factorisation method:
40, 36 and 126
Express the number as a product of its prime factor:
5005
Find the LCM and HCF of the following pair of integers and verify that LCM × HCF = product of the two numbers.
510 and 92
Find the LCM and HCF of the following integers by applying the prime factorisation method.
17, 23 and 29
For what value of natural number n, 4n can end with the digit 6?
Find the least number that is divisible by the first ten natural numbers
Explain why 3 × 5 × 7 + 7 is a composite number.
Find the HCF and LCM of 72 and 120.
