EXAMPLE 28 Find the smallest number
which 2400 should be divided to make
perfect cube
a) 220 (0) 300 (0) 385 280
Pls Give the whole solution
Answers
Answered by
1
Solution:-
Prime factorization of 2400
2 |2400
|_________
2 |1200
|_________
2 | 600
|_________
2 | 300
|_________
2 | 150
|_________
3 | 75
|_________
5 | 25
|_________
5 | 5
|_________
| 1
|
2400 = 2*2*2*2*2*3*5*5
There are one 2 and one 3 in the above which are without any pair.
Therefore, the smallest number is 2*3 = 6, by which 2400 is to be multiplied to get a perfect square.
Resulting number = 2400*6 = 14400
Answered by
0
300 is the smallest number.
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