Advertisements
Advertisements
प्रश्न
Find the smallest number by which the given number must bew multiplied so that the product is a perfect square:
12150
Advertisements
उत्तर
12150 = 2 x 3 x 3 x 3 x 3 x 3 x 5 x 5
Grouping 12150 into pairs of equal factors:
12150 = (3 x 3 x 3 x 3) x (5 x 5) x 2 x 3
Here, 2 and 3 do not occur in pairs. To be a perfect square, every prime factor has to be in pairs. Hence. the smallest number by which 12150 must be multiplied is 2 x 3, i.e. by 6.
APPEARS IN
संबंधित प्रश्न
Find the square root of the following number by the prime factorisation method.
9216
Find the smallest number by which the given number must bew multiplied so that the product is a perfect square:
23805
By just examining the unit digit, can you tell which of the following cannot be whole square?
1027
Find the square root of each of the following by prime factorization.
441
A welfare association collected Rs 202500 as donation from the residents. If each paid as many rupees as there were residents, find the number of residents.
A man, after a tour, finds that he had spent every day as many rupees as the number of days he had been on tour. How long did his tour last, if he had spent in all ₹ 1,296
Find the square root by prime factorisation method
144
Show that 500 is not a perfect square.
Using prime factorisation, find which of the following are perfect squares.
841
Using prime factorisation, find the square roots of 4761
