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Sagot :
Certainly! Let's determine the divisibility of the given numbers by 8 using the divisibility rule for 8.
### Divisibility Rule for 8:
A number is divisible by 8 if the number formed by its last three digits is divisible by 8.
#### Part (a) 428:
1. Look at the last three digits of the number 428. Since 428 has only three digits, we consider the whole number.
2. Check if 428 is divisible by 8.
428 ÷ 8 = 53.5 (not a whole number)
Since 428 divided by 8 does not result in a whole number, 428 is not divisible by 8.
#### Part (b) 2656:
1. Look at the last three digits of the number 2656. The last three digits are 656.
2. Check if 656 is divisible by 8.
656 ÷ 8 = 82 (a whole number)
Since 656 divided by 8 results in a whole number, 2656 is divisible by 8.
### Conclusion:
- 428 is not divisible by 8.
- 2656 is divisible by 8.
### Divisibility Rule for 8:
A number is divisible by 8 if the number formed by its last three digits is divisible by 8.
#### Part (a) 428:
1. Look at the last three digits of the number 428. Since 428 has only three digits, we consider the whole number.
2. Check if 428 is divisible by 8.
428 ÷ 8 = 53.5 (not a whole number)
Since 428 divided by 8 does not result in a whole number, 428 is not divisible by 8.
#### Part (b) 2656:
1. Look at the last three digits of the number 2656. The last three digits are 656.
2. Check if 656 is divisible by 8.
656 ÷ 8 = 82 (a whole number)
Since 656 divided by 8 results in a whole number, 2656 is divisible by 8.
### Conclusion:
- 428 is not divisible by 8.
- 2656 is divisible by 8.
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