OK, today I was in the shower, playing with numbers in my head, when I had a sort of revelation about the number 6. I've finally finished a set of thoughts about 3, 6 and 9.
For 3
Pick a number, any number. Now split the whole sequence of digits into 1-digit numbers. If you don't get a 1-digit number after adding, keep doing it again until you do. If you end up with a 3, 6 or 9, you started with a multiple of 3.
For 6
Take the number you started with. If it's even and it fits what you did for 3, it's also a multiple of 6.
For 9
OK, now you take a number, you separate it into individual digits and add them together. If the number you end up with has more than 1 digit, do it again until you do end up with a 1-digit number. If that number is 9, you started with a multiple of 9.
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1 comment:
Here's an example if you want one:
Start with 73575
7+3+5+7+5=27
2+7=9
So 73575 is a multiple of 3 and 9.
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