Question

Find the cube root of 2197using prime factorization method​

Answer 1

Answer:

cube root of 2197 is 13

13*1313*=2197

Answer 2

Question:

Find the cube root of 2197 using prime factorization method​

Solution:

To Find the cube root of 2197 using Prime Factorization  Method

$\Large{ \begin{array}{c|c} \tt 13 & \sf{ 2197} \\ \cline{1-2} \tt 13 & \sf { 169} \\ \cline{1-2} \tt 13 & \sf{ 13} \\ \cline{1-2} & \sf{ 1} \end{array}}$

$2197=13\times13\times13$

$\sqrt[3]{2197}=13$

Answer:

The cube root of 2197 is 13

This table contains the cubes and cube root of first 10 numbers

$\begin{array}{| c | c | c |}\cline{1-3} \bf Number & \bf Cube & \bf Cube Root\\ \cline{1-3} 1 &\sf 1& 1.000 \\ \cline{1-3} 2 &\sf 8 & 1.260 \\ \cline{1-3} 3 &\sf 27 & 1.442\\ \cline{1-3} 4 &\sf 64 & 1.587\\ \cline{1-3} 5 &\sf 125 & 1.710 \\ \cline{1-3} 6 &\sf 216 & 1.817\\ \cline{1-3} 7 &\sf 343& 1.913 \\ \cline{1-3} 8 &\sf 512& 2.000 \\ \cline{1-3} 9 &\sf 729& 2.080 \\ \cline{1-3} 10 &\sf 1000& 2.154 \\ \cline{1-3} \end{array}$

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