Question

solve this question and answer me​

Answer 1

★ 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

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

$\bf= 28 × 6 × 3 = 504.$

Answer 2

$\huge\fbox\pink{answer is 504}$

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