Advertisements
Advertisements
Question
Find the square root the following by prime factorization.
24336
Advertisements
Solution
Resolving 24336 into prime factors:
24336 = 2 x 2 x 2 x 2 x 3 x 3 x 13 x 13
Grouping the factors into pairs of equal factors:
24336 = (2 x 2) x (2 x 2) x (3 x 3) x (13 x 13)
Taking one factor for each pair, we get the square root of 24336:
2 x 2 x 3 x 13 = 156
APPEARS IN
RELATED QUESTIONS
Find the square root of the following number by the prime factorisation method.
400
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?
1023
Find the smallest number by which 1152 must be divided so that it becomes a perfect square. Also, find the square root of the number so obtained.
The product of two numbers is 1296. If one number is 16 times the other, find the numbers.
A society collected Rs 92.16. Each member collected as many paise as there were members. How many members were there and how much did each contribute?
Find the smallest number by which 12748 be mutliplied so that the product is a perfect square?
Examine if the following is a perfect square.
841
Using prime factorisation, find which of the following are perfect squares.
841
Find the least square number which is exactly divisible by 3, 4, 5, 6 and 8.
