Find the smallest number by 3645 must be divided to make a perfect squ...
To find the smallest no. by which 3645 must be divided to become a perfect sq. we have to find prime factors of the no.
3645=3�3�3�3�3�3�5
so,
their is 3pair of 3.but no pair of 5.
so we have to divide the no. by 5 to have a perfect square.
if we will divide it by 5 we will obtain the sq.of 27(729).
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Find the smallest number by 3645 must be divided to make a perfect squ...
Smallest Number Divisible by 3645 to Make a Perfect Square
The smallest number by which 3645 must be divided to make a perfect square can be determined by breaking down the factors of 3645 and finding the missing factor that will make it a perfect square.
Factors of 3645:
- 1, 3, 5, 15, 17, 51, 85, 255, 729, 2187, 3645
Finding the Missing Factor:
To make 3645 a perfect square, we need to find the missing factor that, when multiplied by 3645, will result in a perfect square. In this case, the factors that are not paired up are 3 and 729.
Calculating the Smallest Number:
To find the smallest number, we multiply 3645 by 3*729 (2187) to get 3645*2187 = 7963815.
Therefore, the smallest number by which 3645 must be divided to make a perfect square is 7963815.
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