Find the number of zeros.

Number Theory Level 2

How many zeros are in the last of 458!.


The answer is 112.

Farhabi Mojib by Farhabi Mojib , 23, Bangladesh

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2 solutions

Rhiane Sanchez
Jul 11, 2014

5^1 = 458 ÷ 5 = 91.6

5^2 = 458 ÷ 25 = 18.32

5^3 = 458 ÷ 125 = 3.664

91 + 18 + 3 = 112 :)

1 Helpful 0 Interesting 0 Brilliant 0 Confused

Nice! Di ko yan naisip XD

Daryll RomuaLdez - 5 years, 8 months ago
Astro Enthusiast
Jul 3, 2014

Divide it by 5, then 25, then 125. Just get the whole number :)

0 Helpful 0 Interesting 0 Brilliant 0 Confused

I did not understood???

Anuj Shikarkhane - 6 years, 11 months ago

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I'm so sorry for failing to explain it clearly. However, I learned about it from this site :) http://www.purplemath.com/modules/factzero.htm

Check it out! Happy solving.

Astro Enthusiast - 6 years, 11 months ago

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