Advertisements
Advertisements
प्रश्न
Find the smallest number by which the given number must be divided so that the resulting number is a perfect square:
1800
उत्तर
For question, factorise the number into its prime factor.
1800= 2 x 2 x 2 x 3 x 3 x 5 x 5
Grouping the factors into pairs:
1800 = (2 x 2) x (3 x 3) x (5 x 5) x 2
Here, the factor 2 does not occur in pairs. To be a perfect square, all the factors have to be in pairs. Hence, the smallest number by which 1800 must be divided for it to be a perfect square is 2.
APPEARS IN
संबंधित प्रश्न
Find the square root of the following number by the prime factorisation method.
4096
Write five numbers for which you cannot decide whether they are squares.
Write true (T) or false (F) for the following statement.
The sum of two square numbers is a square number.
Write true (T) or false (F) for the following statement.
No square number is negative.
Find the smallest number by which 1152 must be divided so that it becomes a perfect square. Also, find the square root of the number so obtained.
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.
Examine if the following is a perfect square
190
Find the square root by prime factorisation method
1156
Using prime factorisation, find which of the following are perfect squares.
841
Using prime factorisation, find which of the following are perfect squares.
729
