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
Advertisements
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.
संबंधित प्रश्न
Find the square root of the following number by the prime factorisation method.
1764
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.
2645
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
Write true (T) or false (F) for the following statement.
The difference of two square numbers is a square number
Find the square root the following by prime factorization.
196
Find the square root the following by prime factorization.
3013696
By splitting into prime factors, find the square root of 11025.
Examine if the following is a perfect square.
841
Find the cube root of 729 and 6859 prime factorisation.
Find the least square number which is exactly divisible by 3, 4, 5, 6 and 8.
