Question
Real Tutor Solution
Tutor-Verified Answer
Answer
786,645 is divisible by 9.
Solution
Yes, **786,645** is divisible by **9**.
Here's how you can determine this using the divisibility rule for 9:
### Divisibility Rule for 9:
A number is divisible by 9 if the **sum of its digits** is also divisible by 9.
### Applying the Rule to 786,645:
1. **Calculate the sum of the digits:**
\[
7 + 8 + 6 + 6 + 4 + 5 = 36
\]
2. **Check if the sum is divisible by 9:**
\[
36 \div 9 = 4 \quad \text{(which is an integer)}
\]
Since 36 is divisible by 9, the original number **786,645** is also divisible by 9.
### Verification by Division:
To further confirm, you can perform the division:
\[
786,645 \div 9 = 87,405
\]
Since the division results in a whole number (**87,405**), this confirms that **786,645** is indeed divisible by **9**.
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution The Deep Dive
To determine if 786,645 is divisible by 9, simply add the digits together: 7 + 8 + 6 + 6 + 4 + 5 = 36. Since 36 is divisible by 9 (36 ÷ 9 = 4), this means that 786,645 is also divisible by 9. So, yes, it is! Next time you're facing a similar challenge, remember the divisibility rule for 9: just add the digits! If the sum is divisible by 9, then your original number is as well. Quick and easy!
