Math, asked by sushmadhanajipatil15, 5 months ago

find 216 prime factor​

Answers

Answered by darshan8920
2

Answer:

The prime factor of the 216 is 23 x 33. The exponents in the prime factorisation are 3 and 3. Add the number 1 with the exponents and multiply it. (3+1)(3+1) = 4 x 4 = 16.

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Answered by CoruscatingGarçon
57

{\huge{\underline{\boxed{\red{\mathcal{Answer}}}}}}

 \\ \\ \Large{ \begin{array}{c|c} \tt 2 & \sf{216} \\ \cline{1-2} \tt 2 & \sf {108} \\ \cline{1-2} \tt 2 & \sf{54} \\ \cline{1-2} \tt 3 & \sf{27 }\\ \cline{1-2} \tt 3 & \sf{ 9 }\\ \cline{1-2} \tt 3 & \sf{3} \\ \cline{1-2} & \sf{ 1}  \end{array}} \\ \\ \implies 216 = 2*2*2*3*3*3 \\ \implies 216 = 2^3*3^3. \\ \\ \\ HOPE\:IT\:HELPS!!!!!!

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