Find the maximum power of 6 in the product of first 10 multiple of 4?

first ten multiples of 4 is 4,8,12,16,20,24,28,32,36,40 4×8×12×16×20×24×27×32×36×40 4(1×2×3×4×5×6×7×8×9×10= 4^{10}×10! Here are maximum powers of 6 is depend on the 3 and 2 here, we can see that number of 2 is more than number of three. So, the MP of 6 depend on the MP of 3. 3 10 3 3 3+1=4 and 4^{10 }there are number 1 of 3 is zero. Number of zero 4 ans. D.

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