Advertisements
Advertisements
प्रश्न
Find the smallest number by which the given number must be divided so that the resulting number is a perfect square:
2904
उत्तर
For question, factorise the number into its prime factor.
2904 = 2 x 2 x 2 x 3 x 11 x 11
Grouping the factors into pairs:
2904 = (2 x 2) x (11 x 11) x 2 x 3
Here, the factors 2 and 3 do not occur in pairs. To be a perfect square, all the factors have to be in pairs. Hence, the smallest number by which 2904 must be divided for it to be a perfect square is 2 x 3, i.e. 6.
APPEARS IN
संबंधित प्रश्न
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.
8100
By just examining the unit digit, can you tell which of the following cannot be whole square?
1024
By just examining the unit digit, can you tell which of the following cannot be whole square?
1023
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.
24336
By splitting into prime factors, find the square root of 396900.
Examine if the following is a perfect square
190
Examine if the following is a perfect square
841
