Math, asked by maltidalal123, 2 months ago

solve this question and answer me​

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Answers

Answered by XxHappiestWriterxX
16

Solution

■ Correct answer is 504.

Step by Step

 \bf \: N =  {4}^{11}  ×  {14}^{5}  ×  {11}^{2}

 \bf \: = ( {2}^{2}  ) {}^{11}  × (2 × 7) {}^{5}  ×  {11}^{2}

 \bf=  {2}^{22}  ×  {2}^{5}  ×  {7}^{5}  ×  {11}^{2}

 \bf=  {2}^{27}  ×  {7}^{5}  ×  {11}^{2}

∴ Total number of prime factors of

 \bf \: N = (27 + 1) × (5 + 1) × (2 + 1)

 \bf= 28 × 6 × 3 = 504.

Answered by HandSomeBoy68
6

\huge\fbox\pink{answer is 504}

folow me ✌☝

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