Advertisements
Advertisements
प्रश्न
If 13824 = 2a × 3b then find a and b
Advertisements
उत्तर
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
संबंधित प्रश्न
There is a circular path around a sports field. Sonia takes 18 minutes to drive one round of the field, while Ravi takes 12 minutes for the same. Suppose they both start at the same point and at the same time, and go in the same direction. After how many minutes will they meet again at the starting point?
Find HCF and LCM of 404 and 96 and verify that HCF × LCM = Product of the two given numbers.
Determine the prime factorisation of each of the following positive integer:
58500
Express the number as a product of its prime factor:
3825
If the HCF of 65 and 117 is expressible in the form 65m – 117, then the value of m is ______.
Can two numbers have 18 as their HCF and 380 as their LCM? Give reasons.
On a morning walk, three persons step off together and their steps measure 40 cm, 42 cm and 45 cm, respectively. What is the minimum distance each should walk so that each can cover the same distance in complete steps?
The prime factorisation of the number 5488 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?
Three bells toll at intervals of 9, 12 and 15 minutes respectively. If they start tolling together, after what time will they next toll together?
