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Find the highest power of 2 in 1440.
Given :
The given number is 1440.
To do :
We have to find the highest power of 2 in 1440.
Solution :
2 | 1440
__|_______
2 | 720
__|_______
2 | 360
__|_______
2 | 180
__|_______
2 | 90
__|_______
3 | 45
__|_______
3 | 15
__|_______
5
$1440 = 2\times 2\times 2\times 2\times 2\times 3\times 3\times 5$
$2^5 \times 3^2 \times 5$
Therefore, the highest power of 2 in 1440 is 5.
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