Find solutions to your problems with the help of IDNLearn.com's expert community. Discover in-depth answers to your questions from our community of experienced professionals.

Exercise

1. Using the divisibility test, state which of the following numbers are divisible by 8.

a) 428

b) 2656


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.