Advertisements
Advertisements
Question
Using prime factorisation, find which of the following are perfect squares.
11250
Advertisements
Solution
Prime factors of 11250 = 2 × (3 × 3) × (5 × 5) × (5 × 5)
As grouping, 2 has no pair.
| 2 | 11250 |
| 3 | 5625 |
| 3 | 1875 |
| 5 | 625 |
| 5 | 125 |
| 5 | 25 |
| 5 | 5 |
| 5 | 1 |
So, 11250 is not 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
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.
396
Write true (T) or false (F) for the following statement.
The number of digits in a square number is even.
Write true (T) or false (F) for the following statement.
No square number is negative.
Find the square root the following by prime factorization.
27225
By splitting into prime factors, find the square root of 396900.
Find the smallest number by which 12748 be mutliplied so that the product is a perfect square?
1000 is a perfect square.
Using prime factorisation, find which of the following are perfect squares.
484
