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September 11th, 2017, 01:56 PM   #1
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Smile Making a question out of a number

Now this may seem like a very silly question to a lot of you.
I was wondering whether it is possible in any way to take a long number - for example '25149193151512' and simplify it into a question - like '4^7 * 8^9'.
Haven't studied maths for years so appreciate any help!
Thanks very much.

Last edited by skipjack; September 11th, 2017 at 02:13 PM.
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September 11th, 2017, 02:25 PM   #2
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Do you realize that 4^7 * 8^9 = 2^(2*7) * 2^(3*9) = 2^41?

25149193151512 = 2³ × 3143649143939
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September 11th, 2017, 06:17 PM   #3
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Hey, this might be good for a new game!
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September 11th, 2017, 08:48 PM   #4
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Quote:
Originally Posted by Monox D. I-Fly View Post
Hey, this might be good for a new game!
You'll be the only one playing it!
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September 11th, 2017, 10:09 PM   #5
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Come on Denis McField, you are even playing my game even though it has reached 8000++ at this point.
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September 12th, 2017, 12:50 PM   #6
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Quote:
Originally Posted by skipjack View Post
Do you realize that 4^7 * 8^9 = 2^(2*7) * 2^(3*9) = 2^41?

25149193151512 = 2³ × 3143649143939
Thanks for your reply. How did you get to that equation? what was your working out?
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September 12th, 2017, 03:54 PM   #7
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Well I still do not understand your question: make a question out of a number? What does that even mean?

Any number can be expressed in terms of other numbers in an infinite number of ways.
For example, 10 = 8 + 2 = 9 + 1 = 4 + 9 - 3, and so on.

There is a theoretically and practically important way to analyze positive whole integers: each such number is prime or can be reduced to a product of primes in a unique way (disregarding order).

There is a simple but lengthy algorithm for doing that. You need a table of primes: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, etc. You see whether the number can be divided evenly by 2. If so, you see whether that quotient can be divided 2. If not you try 3. Here is an example with a small number.

252 = 2 * 126 = 2 * 2 * 63 = 2 * 2 * 3 * 21 =

2 * 2 * 3 * 3 * 7.

Completely mechanical.
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Last edited by JeffM1; September 12th, 2017 at 03:56 PM.
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