Advertisements
Advertisements
Question
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.
1620
Solution
1620 can be factorised as follows.
| 2 | 1620 |
| 2 | 810 |
| 3 | 405 |
| 3 | 135 |
| 3 | 45 |
| 3 | 15 |
| 5 | 5 |
| 1 |
1620 = 2 × 2 × 3 × 3 × 3 × 3 × 5
Here, prime factor 5 does not have its pair.
If we divide this number by 5, then the number will become a perfect square.
Therefore, 1620 has to be divided by 5 to obtain a perfect square.
1620 ÷ 5 = 324 is a perfect square.
324 = 2 × 2 × 3 × 3 × 3 × 3
∴ `sqrt324` = 2 × 3 × 3 = 18
APPEARS IN
RELATED QUESTIONS
Find the square root of the following number by the prime factorisation method.
9216
Find the smallest number by which the given number must be divided so that the resulting number is a perfect square:
2904
Write true (T) or false (F) for the following statement.
The product of two square numbers is a square number.
Find the squares of the following numbers using column method. Verify the result by finding the square using the usual multiplication:
71
Find the square root the following by prime factorization.
3013696
Write the prime factorization of the following number and hence find their square root.
7744
The students of class VIII of a school donated Rs 2401 for PM's National Relief Fund. Each student donated as many rupees as the number of students in the class. Find the number of students in the class.
By splitting into prime factors, find the square root of 396900.
Is 90 a perfect square?
Find the square root by prime factorisation method
256
