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.
APPEARS IN
संबंधित प्रश्न
Find the square root of the following number by the prime factorisation method.
9216
Find the square root of the following number by the prime factorisation method.
529
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.
180
Find the smallest number by which the given number must bew multiplied so that the product is a perfect square:
23805
Find the smallest number by which the given number must be divided so that the resulting number is a perfect square:
2904
By just examining the units digit, can you tell which of the following cannot be whole square?
1026
Write true (T) or false (F) for the following statement.
The number of digits in a square number is even.
Write true (T) or false (F) for the following statement.
The square of a prime number is prime.
The product of two numbers is 1296. If one number is 16 times the other, find the numbers.
Find the square root by prime factorisation method
4761
