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
Advertisements
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.
400
Find the square root of the following number by the prime factorisation method.
4096
For the following number, find the smallest whole number by which it should be multiplied so as to get a perfect square number. Also find the square root of the square number so obtained.
252
Find the smallest number by which the given number must be divided so that the resulting number is a perfect square:
1800
Find the square root the following by prime factorization.
7056
Find the square root the following by prime factorization.
8281
By splitting into prime factors, find the square root of 11025.
Find the square root by prime factorisation method
1156
Show that 500 is not a perfect square.
Using prime factorisation, find which of the following are perfect squares.
484
