The Problem: This problem requires you to apply basic mathematical skills and think logically to develop your response. Please show as much work as possible to clearly show the steps you used to find the solution. You must support any results you give with an explanation that makes sense. Pattern 1: Choose any number from 2 to 9. Multiply it by 41. Multiply the result by 271. Try this with two different one digit numbers. What do you notice about the result? Explain why this works. Pattern 2: Choose any two digit number between 11 and 19 (inclusive). Multiply it by 41. Multiply the result by 271. Try this with two more two digit numbers between 11 and 19. What do you notice about the result? Explain why this works. Pattern 3: Select any 3 digit number. for example 345. Repeat the digits to get a six digit number, 345 345. Divide the number by 13. Divide the new number by 11. Divide the new number by 7. What did you get? Try this with two more 3 digit numbers. What happens? Why do you always get this result? Explain