Advertisements
Advertisements
Question
Write the prime factorization of the following number and hence find their square root.
7744
Advertisements
Solution
The prime factorisation of 7744:
7744 =`2xx2xx2xx2xx2xx2xx11xx11`
Grouping them into pairs of equal factors, we get:
7744 = (2\[\times\]2)\[\times\](2\[\times\]2)\[\times\] (2\[\times\]2)\[\times\](11\[\times\]11)
Taking one factor from each pair, we get :
`sqrt(7744)=2xx2xx2xx2xx11=88`
APPEARS IN
RELATED QUESTIONS
Find the square root of the following number by the prime factorisation method.
400
For the following number, find the smallest whole number by which it should be multiplied so as to get a perfect square number. Also find the square root of the square number so obtained.
252
Find the smallest square number that is divisible by each of the numbers 8, 15, and 20.
Find the smallest number by which the given number must bew multiplied so that the product is a perfect square:
23805
By just examining the unit digit, can you tell which of the following cannot be whole square?
1022
By just examining the unit digit, can you tell which of the following cannot be whole square?
1027
Find the square root of each of the following by prime factorization.
441
The product of two numbers is 1296. If one number is 16 times the other, find the numbers.
Find the smallest number by which 2592 be multiplied so that the product is a perfect square.
Examine if the following is a perfect square.
841
