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How many zeroes are there in 15 factorial in base 12? - Answers

The number of zeros is determined by how many times 12 divides into 15!. To determine this, since 12 = 22*3, we will look at how many times 2 and 3 divide into 15!. 2 divides 2,6,10,14 once, 4,12 twice, and 8 three times, so that 2 divides 15! exactly 11 times. 3 divides 3,6,12,15 once and 9 twice, so that 3 divides 15! exactly 6 times. From this, we can see that 12 divides into 15! exactly 5 times, since 125=210*35. In other words, the base-12 representation of 15! ends in 5 zeros.



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How many zeroes are there in 15 factorial in base 12? - Answers

https://math.answers.com/math-and-arithmetic/How_many_zeroes_are_there_in_15_factorial_in_base_12

The number of zeros is determined by how many times 12 divides into 15!. To determine this, since 12 = 22*3, we will look at how many times 2 and 3 divide into 15!. 2 divides 2,6,10,14 once, 4,12 twice, and 8 three times, so that 2 divides 15! exactly 11 times. 3 divides 3,6,12,15 once and 9 twice, so that 3 divides 15! exactly 6 times. From this, we can see that 12 divides into 15! exactly 5 times, since 125=210*35. In other words, the base-12 representation of 15! ends in 5 zeros.



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https://math.answers.com/math-and-arithmetic/How_many_zeroes_are_there_in_15_factorial_in_base_12

How many zeroes are there in 15 factorial in base 12? - Answers

The number of zeros is determined by how many times 12 divides into 15!. To determine this, since 12 = 22*3, we will look at how many times 2 and 3 divide into 15!. 2 divides 2,6,10,14 once, 4,12 twice, and 8 three times, so that 2 divides 15! exactly 11 times. 3 divides 3,6,12,15 once and 9 twice, so that 3 divides 15! exactly 6 times. From this, we can see that 12 divides into 15! exactly 5 times, since 125=210*35. In other words, the base-12 representation of 15! ends in 5 zeros.

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      The number of zeros is determined by how many times 12 divides into 15!. To determine this, since 12 = 22*3, we will look at how many times 2 and 3 divide into 15!. 2 divides 2,6,10,14 once, 4,12 twice, and 8 three times, so that 2 divides 15! exactly 11 times. 3 divides 3,6,12,15 once and 9 twice, so that 3 divides 15! exactly 6 times. From this, we can see that 12 divides into 15! exactly 5 times, since 125=210*35. In other words, the base-12 representation of 15! ends in 5 zeros.

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