Posted by K - NEED HELP on Wednesday, March 13, 2013 at 8:20pm.
Think of all the factors that will produce a zero
1. clearly all multiples of 10 will add a zero
that is, numbers like 30, 60, 210, etc
2. also every factor ending in 2 multiplied by a factor ending in 5 will produce a zero
so zeros are produced by the following
* 2 * * 5 * * * * 10 * 12 * * 15 * * * * 20 * ....
so for the first 10! we should have 2 zeros, test with your calculator to get 3628800
by the time we get to 20! we should have 4 zeros
at 30! we should have 6 zeros
etc
so after 100! we should have 20 zeros
by the same reasoning:
200! should have 40 zeros
300! should have 60 zeros
so we have (a x 10^20)(b x 10^40)(c x 10^60)
= abc x 10^120
check my thinking.
Thank you!
Related Questions
Math - If you multiply 100!*200!*300!, how many 0s are there?
Algebra - Which of these sequences shows exponential growth? a) 800, 400, 200, ...
Math - The attendance at the Harmony School carnival has shown a range of 200 ...
5th grade - what is the mode for the following numbers? 900,700,500,600,600,300...
Math 116 - Is this correct so far...I just want to know if I am doing this.. b) ...
Problem Solving Math Question - Find the sum of all the numbers in the following...
pyhsics - At t= 1.0s, a 0.61 kg object is falling with a speed of 6.0 m/s. At t...
math 115 - I am stuck with this problem can some let me know how to work this ...
math 115 - I am stuck with this problem can some let me know how to work this ...
math,correction - The problem states: In planning for a new item, a manufacturer...
For Further Reading
