What is the greatest 3-digit number divisible by 3 but not by 9?
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Answered by
1
Answer:
I think it would be 996
Step-by-step explanation:
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Answered by
0
Answer:
Let's express 9 and 21 as factors of prime numbers:
9=3*3
21=3*7
The 3-digit number must be divided by 9*7=63
The highest number of 3 digits is 999.
The requested number is below 999 since this number can be divided by 9 not by 21. This number must be a multiple of 63:
We start trying with 882 since is a multiple of 63 and close to 999.
Next: 882+63=945
Next:945+63=1008 (this is 4-digit number).
Therefore, the number is 945
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