Advertisements
Advertisements
प्रश्न
The least number by which 125 be multiplied to make it a perfect square is ______.
Advertisements
उत्तर
The least number by which 125 be multiplied to make it a perfect square is 5.
Explanation:
| 5 | 125 |
| 5 | 25 |
| 5 | 5 |
| 1 |
Resolving 125 into prime factors, we get
125 = 5 × 5 × 5
Grouping the factors in triplets of equal factors, we get
125 = (5 × 5) × 5
We observe that 5 is without a pair.
Thus, we must multiply the number by 5, so that the product is a perfect square.
Hence, the least number, which should be multiplied with 125 to make it a perfect square, is 5.
APPEARS IN
संबंधित प्रश्न
Find the smallest number by which the given number must be divided so that the resulting number is a perfect square:
1800
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.
Write true (T) or false (F) for the following statement.
There are fourteen square number upto 200.
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.
529
Find the smallest number by which 180 must be multiplied so that it becomes a perfect square. Also, find the square root of the perfect square so obtained.
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.
By splitting into prime factors, find the square root of 396900.
Examine if the following is a perfect square
190
