Advertisements
Advertisements
प्रश्न
Write the sum of the exponents of prime factors in the prime factorization of 98.
Advertisements
उत्तर
Using the factor tree for prime factorization, we have:

Therefore,
`98=2xx7xx7`
`98=2xx7^2`
The exponents of 2 and 7 are 1 and 2 respectively.
Hence the sum of the exponents is 3
APPEARS IN
संबंधित प्रश्न
What is the HCF of the smallest prime number and the smallest composite number?
Find the LCM and HCF of the following pair of integers and verify that LCM × HCF = Product of the two numbers.
26 and 91
Find the LCM and HCF of the following integers by applying the prime factorisation method:
24, 15 and 36
The HCF of two numbers is 145 and their LCM is 2175. If one number is 725, find the other.
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.
8, 9 and 25
Find the least number that is divisible by the first ten natural numbers
The sum of the exponents of the prime factors in the prime factorization of 1729 is
LCM of the given number ‘x’ and ‘y’ where y is a multiple of ‘x’ is given by ______.
Three farmers have 490 kg, 588 kg and 882 kg of wheat respectively. Find the maximum capacity of a bag so that the wheat can be packed in exact number of bags.
For some integer p, every even integer is of the form ______.
The ratio of LCM and HCF of the least composite and the least prime numbers is ______.
The largest number which divides 70 and 125, leaving remainders 5 and 8, respectively, is ______.
If two positive integers a and b are written as a = x3 y2 and b = xy3; x, y are prime numbers, then HCF (a, b) is ______.
If two positive integers p and q can be expressed as p = ab2 and q = a3b; a, b being prime numbers, then LCM (p, q) is ______.
Show the 6n cannot end with digit 0 for any natural number 'n'.
(HCF × LCM) for the numbers 30 and 70 is ______.
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?
