

landmark Inner circle within a triangle 4765 Posts 
After a little bit of pencil pushing, you find that your favorite number can be expressed in the prime factored form of (a^x) * (b^y)* (c^z) . . . etc. , where a, b, c . . . are distinct primes, and x, y, z . . . are integers.
How many factors does your number have? How can you show that your answer must be correct? e.g. 16200 can be expressed as (2^3) (3 ^4) (5^2) . How many factors (prime and nonprime) does 16200 contain? Jack Shalom
Gerald Deutsch's Perverse Magic: The First Sixteen Years available now.
All proceeds to nonprofit charity Open Heart Magic. You can read my daily blog at Musings, Memories, and Magic 
PsyKosh Regular user Michigan 135 Posts 
There're a couple ways of looking at that.
The simplest is this: consider 2^x * 3^y * 5^z now, let x, y, and z range between 0 and the actual correct exponent for 16200 Each of those possibilities will correspond to a unique number that divides 16200. (if you don't want do count 1 as a factor, just subtract 1 from the answer..) so we have 4*5*3 = 60 possibilities. or 59 not counting 1. or 58 not counting either 1 or 16200. 
The Magic Cafe Forum Index » » Puzzle me this... » » A matter of factorization (0 Likes) 
[ Top of Page ] 
All content & postings Copyright © 20012020 Steve Brooks. All Rights Reserved. This page was created in 0.1 seconds requiring 5 database queries. 
The views and comments expressed on The Magic Café are not necessarily those of The Magic Café, Steve Brooks, or Steve Brooks Magic. > Privacy Statement < 