Re: discrete math, how many zeroes in 125!

• To: mathgroup at smc.vnet.net
• Subject: [mg13467] Re: discrete math, how many zeroes in 125!
• From: "Allan Hayes" <hay at haystack.demon.cc.uk>
• Date: Sun, 26 Jul 1998 02:33:30 -0400
• References: <6p6rjm\$5lk@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

```Timothy Anderson wrote in message <6p6rjm\$5lk at smc.vnet.net>...
>how can I solve this problem by counting the factors of 2 and 5 without
>doing each factor individually? thanks for any real quick help! Tim
>

I assume that you mean the zeroes at the end. Here are two ways  - I
change 125 to 1250 to ccompare speeds

Min[Cases[FactorInteger[1250!], {2|5, n_}->n]]//Timing

{1.48 Second, 312}

Position[Reverse[IntegerDigits[1250!]],Alternatives@@Range[9],
{1},1][[1,1]]-1//Timing

{0.28 Second, 312}

-------------------------------------------------------------
Allan Hayes
Training and Consulting
Leicester UK
http://www.haystack.demon.co.uk
hay at haystack.demon.co.uk
voice: +44 (0)116 271 4198
fax: +44(0)116 271 8642

```

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