Advertisements
Advertisements
प्रश्न
Find the smallest number by which the given number must bew multiplied so that the product is a perfect square:
7688
Advertisements
उत्तर
Factorise each number into its prime factors.
7688 = 2 x 2 x 2 x 31 x 31
Grouping 7688 into pairs of equal factors:
7688 = (2 x 2) x (31 x 31) x 2
Here, 2 does not occur in pairs. To be a perfect square, every prime factor has to be in pairs. Hence, the smallest number by which 7688 must be multiplied is 2.
APPEARS IN
संबंधित प्रश्न
Find the square root of the following number by the prime factorisation method.
5929
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.
1458
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 difference of two square numbers is a square number
Find the square root the following by prime factorization.
3013696
Find the smallest number by which 2592 be multiplied so that the product is a perfect square.
Examine if the following is a perfect square.
841
Find the square root by prime factorisation method
1156
Find the square root by prime factorisation method
4761
Using prime factorisation, find which of the following are perfect squares.
11250
