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Answers
Step-by-step explanation:
Step-by-step explanation:
\begin{gathered}\begin{array}{c | c }2& 65856 \\ \cline{2-2} 2 & 32928 \\ \cline{2-2} 2 & 16464\\ \cline{2-2} 2 & 8232 \\ \cline{2-2} 2 & 4116 \\ \cline{2-2} 2 & 2058 \\ \cline{2-2} 3 & 1029 \\ \cline{2-2} 7 & 343 \\ \cline{2-2} 7 & 49 \\ \cline{2-2} & 7\end{array}\end{gathered}
2
\cline2−22
\cline2−22
\cline2−22
\cline2−22
\cline2−22
\cline2−23
\cline2−27
\cline2−27
\cline2−2
65856
32928
16464
8232
4116
2058
1029
343
49
7
Therefore, 65856 = 2 x 2 x 2 x 2 x 2x 2x 3 x 7 x 7 x 7
= ( 2² x 7)³ x 3 = 2⁶ x 7³ x 3
Dividing the number by 3 makes it a perfect cube.
Thus, \frac{65856}{3}
3
65856
= \frac{(2^2 \times 7)^3}{3}
3
(2
2
×7)
3
= (2² x 7)³ = 28³
Hence, the required least number is 3
Cube root of the product of numbers
Find the cube root of the product of two or more numbers, first find the cube root of each number and then find their product.
Alternatively , first find the product of the numbers and then determine its cube root