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Madilyn Herman
Mathematics
20 April, 22:15
Which of these numbers are exactly divisible by 9? 107,513,944,126,80
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Steven Frank
20 April, 22:42
0
513 and 126 both are. (The question doesn't say
that there's only one of them in the list.)
Here's an easy way to tell: (I don't know how or why it works,
but it works.)
You're looking at a big number, and you need to find out if it's
divisible by 9.
Here's the two-step process:
- - If it's going to be divisible by 9, then it has to be divisible by 3.
- - Find out whether it's divisible by 3. If it is, then ...
- - Find out whether it's divisible by 9.
Step 1:
Add up all the digits in the number. If that sum is divisible by 3,
then the original big number is too.
Example:
Is 549 divisible by 3?
Add up its digits: (5 + 4 + 9) = 18.
Is 18 divisible by 3?
Yes. That tells you that 549 is divisible by 3.
So it could be divisible by 9.
Step 2:
Take that same 18 and add up its digits.
(1 + 8) = 9.
9 is divisible by 3.
This tells you that the original big number ... 549 ... is also divisible by 9.
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