Mysterious number 6174
Number guessing puzzles
The first beautiful puzzle was by Yukio Yamamoto in Japan:
If you multiply two five digit numbers you can get the answer 123456789. Can you guess the two five digit numbers?
And the second, very similar puzzle:
Decompose the numbers into their prime factors to help you solve the puzzles.
123456789 = 3 x 3 x 3607 x 3803
123456784 = 24 x 112 x 43 x 1483