Question

For an integer N greater than 1, what is the least value of N such that the

product N · 144 ends in the three digit string 144?

Answer 1

Explanation:

This is an extremely interesting question. I have no idea why it works, but there is a pattern.

Here are the values of n that I found that when multiplied by 144 give 144 as the last 3 digits. Notice how the pattern repeats. 26 51 76 01. I only took it up to 1001 because I discovered that without the help of a computer program. Thanks for posting. Nice afternoon to you.

• 126
• 251
• 376
• 501
• 626
• 751
• 876
• 1001