Advertisements
Advertisements
Question
Find the square root the following by prime factorization.
47089
Advertisements
Solution
Resolving 47089 into prime factors:
47089 = 7 x 7 x 31 x 31
Grouping the factors into pairs of equal factors:
47089 = (7 x 7) x (31 x 31)
Taking one factor for each pair, we get the square root of 47089:
7 x 31 = 217
APPEARS IN
RELATED QUESTIONS
Find the square root of the following number by the prime factorisation method.
7744
For the following number, find the smallest whole number by which it should be divided so as to get a perfect square number. Also find the square root of the square number so obtained.
2645
By just examining the unit digit, can you tell which of the following cannot be whole square?
1022
Write true (T) or false (F) for the following statement.
The difference of two square numbers is a square number
Find the square rootthe following by prime factorization.
11664
A welfare association collected Rs 202500 as donation from the residents. If each paid as many rupees as there were residents, find the number of residents.
Find the square root by prime factorisation method
9025
Find the least square number which is exactly divisible by 3, 4, 5, 6 and 8.
Find the smallest square number divisible by each one of the numbers 8, 9 and 10.
