Advertisements
Advertisements
Question
Using prime factorisation, find which of the following are perfect squares.
484
Advertisements
Solution
Prime factors of 484 = (2 × 2) × (11 × 11)
As grouping, there is no unpaired factor left over.
| 2 | 484 |
| 2 | 242 |
| 11 | 121 |
| 11 | 11 |
| 1 |
So, 484 is a perfect square.
APPEARS IN
RELATED QUESTIONS
Find the square root of the following number by the prime factorisation method.
729
Find the square root of the following number by the prime factorisation method.
400
Find the square root of the following number by the prime factorisation method.
1764
Find the square root of the following number by the prime factorisation method.
7744
Write five numbers for which you cannot decide whether they are squares.
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?
A school collected Rs 2304 as fees from its students. If each student paid as many paise as there were students in the school, how many students were there in the school?
A PT teacher wants to arrange maximum possible number of 6000 students in a field such that the number of rows is equal to the number of columns. Find the number of rows if 71 were left out after arrangement.
Find the cube root of 729 and 6859 prime factorisation.
