maypanem
maypanem maypanem
  • 10-06-2020
  • Mathematics
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How many zeroes are at the end of 10! = 1∙2 ∙ … ∙ 9∙10?

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Yayo5
Yayo5 Yayo5
  • 10-06-2020

Answer:

2.

Step-by-step explanation:

To find the number of trailing zeroes, given n!, we take n and divide it by increasing powers of 5. For example, the number of trailing zeroes in 50! = 50/5 = 10, 50/25 = 2, 10 + 2 = 12 trailing zeroes.

In this case, 10/5 = 2, and since we cannot get an integer from dividing 10 and 25, we are left with this answer.

I hope this helps!

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