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Is 45678 divisible by 9?
Yes
No
Cannot be determined
Only if divided by 3
No
Calculate the digital sum (sum of digits). If the resulting sum is divisible by 9, the original number is divisible by 9.
A number 45678 is provided to check its divisibility by 9.
S=тИСi=0nтАЛdiтАЛ
Calculate the digital sum (sum of digits). If the resulting sum is divisible by 9, the original number is divisible by 9.
Students often confuse the divisibility rule of 9 with that of 3, or perform long division instead of summing the digits, which increases the chance of arithmetic error.
Calculate the sum of digits
To check divisibility by 9, add all the individual digits of the number 45678 together.
4+5+6+7+8=30
Check divisibility of the sum
Check if the resulting sum, which is 30, is divisible by 9.
30├╖9=3.33
Conclusion
Since 30 is not divisible by 9 (it leaves a remainder of 3), the original number 45678 is not divisible by 9.
30юАа=9k
B is correct because the sum of the digits of 45678 is 30, which is not divisible by 9.
The rule for divisibility by 9 is identical to the rule for 3 (sum of digits), but remember that all numbers divisible by 9 are divisible by 3, but not all numbers divisible by 3 are divisible by 9.
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