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Sometimes when i'm bored i play with numbers. Last time i took the smallest number that is able to divide by any digit (of course except zero) - it's 2520 if i'm right. And then i wrote results for dividing it by each digit and then i subtract any two that touch each other like this:
2520 : 1 = 2520
- = 1260
2520 : 2 = 1260 - = 840
- = 420 - = 630
2520 : 3 = 840 - = 210 - = 504
- = 210 - = 126 - = 420
2520 : 4 = 630 - = 84 - = 84 - = 360
- = 126 - = 42 - = 60 - = 315
2520 : 5 = 504 - = 42 - = 24 - = 45 - = 280
- = 84 - = 18 - = 15 - = 35
2520 : 6 = 420 - = 24 - = 9 - = 10
- = 60 - = 9 - = 5
2520 : 7 = 360 - = 15 - = 4
- = 45 - = 5
2520 : 8 = 315 - = 10
- = 35
2520 : 9 = 280
I hope you see the pattern here. My question is, are patterns like this special or it will happen often if i do something like this?
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