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
Check whether 6n can end with the digit 0 for any natural number n.
Express the number as a product of its prime factor:
156
Find the LCM and HCF of the following integers by applying the prime factorisation method.
17, 23 and 29
If p1x1 × p2x2 × p3x3 × p4x4 = 113400 where p1, p2, p3, p4 are primes in ascending order and x1, x2, x3, x4, are integers, find the value of p1, p2, p3, p4 and x1, x2, x3, x4
Find the least positive value of x such that 89 ≡ (x + 3) (mod 4)
Explain why 3 × 5 × 7 + 7 is a composite number.
Statement A (Assertion): If product of two numbers is 5780 and their HCF is 17, then their LCM is 340.
Statement R (Reason): HCF is always a factor of LCM.
Assertion (A): The HCF of two numbers is 5 and their product is 150. Then their LCM is 40.
Reason(R): For any two positive integers a and b, HCF (a, b) × LCM (a, b) = a × b.
The prime factorisation of the number 2304 is ______.
National Art convention got registrations from students from all parts of the country, of which 60 are interested in music, 84 are interested in dance and 108 students are interested in handicrafts. For optimum cultural exchange, organisers wish to keep them in minimum number of groups such that each group consists of students interested in the same artform and the number of students in each group is the same. Find the number of students in each group. Find the number of groups in each art form. How many rooms are required if each group will be allotted a room?
