Advertisements
Advertisements
प्रश्न
Find the smallest number by which 28812 must be divided so that the quotient becomes a perfect square.
Advertisements
उत्तर
Prime factorisation of 28812:
28812 = 2 x 2 x 3 x 7 x 7 x 7 x 7
Grouping them into pairs of equal factors:
28812 = (2 x 2) x (7 x 7) x (7 x 7) x 3
The factor, 3 is not paired. Hence, the smallest number by which 28812 must be divided such that the resulting number is a perfect square is 3.
APPEARS IN
संबंधित प्रश्न
Which of the following numbers are perfect squares?
625
Which of the following numbers are perfect squares?
36
Using prime factorization method, find which of the following numbers are perfect square?
225
Using prime factorization method, find which of the following numbers are perfect square?
2916
Using prime factorization method, find which of the following numbers are perfect square?
441
Using prime factorization method, find which of the following numbers are perfect square?
343
By what number should each of the following numbers be multiplied to get a perfect square? Also, find the number whose square is the new number.
4056
Find the smallest number by which 1152 must be divided so that it becomes a perfect square. Also, find the number whose square is the resulting number.
The following number is not perfect square. Give reason.
45743
The square number of 5 is _________________________
