Weekend Family Math?
Problem of the weekend:
(Be sure to explain how you got your answer.)
****Find the LARGEST six-digit even number that meets the following conditions. The ten-thousands digit is twice the tens digit. The hundred thousands digit is a prime number. The thousands digit is divisible by the ones digit. NO digits can used more than once.
Thank you for helping us out.
Favorite Answer
I started out as _ _ _,_ _ _
The 10,000 place has to be the biggest you can get. However, 9 isn’t an even number so I used 8., so the 10’s digit is a 4. The biggest prime number from 1-10 is 7, for the hundred thousands place. The thousands digit has to be the biggest number divisible by another number, which is 9, so the 1’s digit is a 3. The only place left is the hundreds place, and I used the biggest number i can get, 6.
A must be prime, so A can be 2,3,5,7. Choose biggest: A = 7.
B is twice E, so it must be even, Let B = 8, biggest even digit, so E is 4. Now we have N = 78CD4F.
C is divisible by F, make C as big as possible for C = 9. Now N = 789D4F.
D can be anything, biggest remaining digit is 6.
F must be a divisor of C, biggest one is 3.
So it looks like N = 789643.
8 is twice 4
7 is a prime number
6 is divisible by 1 ( 1 goes into 6 six times.)
- Academic Writing
- Accounting
- Anthropology
- Article
- Blog
- Business
- Career
- Case Study
- Critical Thinking
- Culture
- Dissertation
- Education
- Education Questions
- Essay Tips
- Essay Writing
- Finance
- Free Essay Samples
- Free Essay Templates
- Free Essay Topics
- Health
- History
- Human Resources
- Law
- Literature
- Management
- Marketing
- Nursing
- other
- Politics
- Problem Solving
- Psychology
- Report
- Research Paper
- Review Writing
- Social Issues
- Speech Writing
- Term Paper
- Thesis Writing
- Writing Styles