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.
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.
252
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
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.
1008
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.
2028
Find the smallest number by which the given number must be divided so that the resulting number is a perfect square:
14283
By just examining the unit digit, can you tell which of the following cannot be whole square?
1023
By just examining the unit digit, can you tell which of the following cannot be whole square?
1027
Is 176 a perfect square? If not, find the smallest number by which it should be multiplied to get a perfect square.
Find the smallest square number divisible by each one of the numbers 8, 9 and 10.
