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
Advertisements
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
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.
768
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.
252
By just examining the unit digit, can you tell which of the following cannot be whole square?
1022
Write true (T) or false (F) for the following statement.
The product of two square numbers is a square number.
Find the square rootthe following by prime factorization.
11664
A society collected Rs 92.16. Each member collected as many paise as there were members. How many members were there and how much did each contribute?
Find the least square number, exactly divisible by each one of the numbers:
(i) 6, 9, 15 and 20
Out of 745 students, maximum are to be arranged in the school field for a P.T. display, such that the number of rows is equal to the number of columns. Find the number of rows if 16 students were left out after the arrangement.
Find the smallest perfect square divisible by 3, 4, 5 and 6.
A square board has an area of 144 square units. How long is each side of the board?
