Editing 247: Factoring the Time

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==Explanation==
 
==Explanation==
In this comic, [[Cueball]] is bored, so he is calculating the {{w|Prime factor|prime factors}} of the time shown on the clock. Cueball has been doing this for almost two hours (from 1:00 pm to 2:53 pm). The number 2 is the smallest prime but is not a factor of 253, which is an odd number. The smallest prime factor of 253 is 11, which makes the other factor 23.
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[[Cueball]] is bored, so he has been calculating the {{w|Prime factor|prime factors}} of the time shown on the clock. The prime factor of a positive number is a number which could be divided only by {{w|Prime number|prime numbers}}. Cuball is been doing this for almost two hours (from 1:00 pm to 2:53 pm). The number 2 is the smallest prime but is not a factor of 253, which is an odd number. The smallest prime factor of 253 is 11, which makes the other factor 23.
  
His co-worker decides to mess with Cueball, so he switches the clock from 12-hour time (2:53 pm) to 24-hour time (14:53). This makes factorization more difficult, as the time now shown is a four digit number rather than a three digit number. The number 1,453 is actually a prime number, and so has no factors but one and itself. Cueball has less than one minute to determine this, which is nearly impossible to do without practice. In this time, Cueball would have to calculate if 1,453 is divisible by all primes between 2 and the square root of 1,453, which are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, and 37. However, there are {{w|Divisibility_rule|tricks}} to help you do this more quickly than doing {{w|Long_division|long divisions}}.
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His co-worker decides to mess with Cueball and so he switches the clock from 12-hour time (2:53 pm) to 24-hour time (14:53). This makes factorization more difficult, as the time now shown is a four digit number rather than a three digit number. The number 1,453 is actually a prime number and so has no factors but one and itself. Cueball has exactly one minute to determine this, which is nearly impossible to be done by a human brain..  
  
In the title text, [[Randall]] claims that he applies the same challenge to {{w|highway location marker}}s. At highway speeds (60+ mph), they would show up at least once per minute. Combined with the need to also concentrate on driving, factorizing numbers in the allowed time becomes much more difficult despite the lower numbers on the markers. Also, paying attention to the road markers instead of the road itself would be quite terrifying. In some cases, it could cause a car crash at more than 60 mph, which would be bad.{{Citation needed}}
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In the title text, [[Randall]] claims he applies the same challenge to {{w|highway location marker}}s. At highway speeds (60+ mph), they would show up at least once per minute. Combined with the need to also concentrate on driving, factorizing numbers in the allowed time becomes much more difficult despite the lower numbers on the markers.
 
 
An additional challenge would be to change the mile markers to kilometer markers (because as with the clock format, the latter is more common outside of the USA). That would result in the marker being a 1.6 times larger number, and thus harder to factor. Of course, factoring is now a secondary problem, as markers would appear 1.6 times as frequently.
 
  
 
==Transcript==
 
==Transcript==
:[One man is sitting at a computer. Cueball sits at a separate desk. There is a clock that reads 2:53.]
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:[One man is sitting at a computer. Cueball sits at a separate desk. There is a clock which reads 2:53.]
 
:Cueball: 253 is 11x23
 
:Cueball: 253 is 11x23
 
:Man at computer: What?
 
:Man at computer: What?
 
:Cueball: I'm factoring the time.
 
:Cueball: I'm factoring the time.
 
:[Zoomed in on Cueball, who explains himself.]
 
 
:Cueball: I have nothing to do, so I'm trying to calculate the prime factors of the time each minute before it changes.
 
:Cueball: I have nothing to do, so I'm trying to calculate the prime factors of the time each minute before it changes.
 
:Cueball: It was easy when I started at 1:00, but with each hour the number gets bigger
 
:Cueball: It was easy when I started at 1:00, but with each hour the number gets bigger
 
:Cueball: I wonder how long I can keep up.
 
:Cueball: I wonder how long I can keep up.
 
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:[Man at desk reaches back and touches the clock.]
:[Zoomed back out on the man and Cueball. The man at the desk reaches back and presses a button on the clock.]
 
 
:''BEEP''
 
:''BEEP''
 
 
:[Clock now reads 14:53.]
 
:[Clock now reads 14:53.]
 
:Cueball: Hey!
 
:Cueball: Hey!
 
:Man at computer: Think fast.
 
:Man at computer: Think fast.
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==Trivia==
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*There is a [http://www.apple.com/downloads/dashboard/status/xkcdtimefactorisation.html widget for OS X] to display the current time and its prime factors.
  
 
{{comic discussion}}  
 
{{comic discussion}}  
 
[[Category:Comics featuring Cueball]]
 
[[Category:Comics featuring Cueball]]
[[Category:Multiple Cueballs]]
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[[Category:Math]]
[[Category:Number theory]]
 

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