110592 find cube root which prime factorisation method
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Answered by
367
Answer:
Cube root of 110592 = 48
Step-by-step explanation:
Resolving 110592 into product prime factors.
2| 110592
____________
2| 55296
____________
2| 27648
____________
2| 13824
____________
2| 6912
____________
2| 3456
____________
2| 1728
____________
2| 864
____________
2| 432
_____________
2| 216
_____________
2| 108
_____________
2| 54
_____________
3| 27
_____________
3| 9
______________
***3
110592
= (2×2×2)×(2×2×2)×(2×2×2)×(2×2×2)×(3×3×3)
Now,
Cube root of 110592
= 2×2×2×2×3
= 48
Therefore,
Cube root of 110592 = 48
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