Question

Use the divisibility tests to determine whether each number is divisible by 2,3,4,5,6 and 10.

Factors and multiples
ANSWERED
asked 2021-08-10
In the following exercises, use the divisibility tests to determine whether each number is divisible by 2,3,4,5,6 and 10.
800

Answers (1)

2021-08-11
To determine
Whether the given number is divisible by 2,3,4,5,6 and 10 or not.
Explanation of Solution
Given:
The given number is 800.
Concept Used: We use the concept of divisibility test.
A number is divisible by 2 if it has 0,2,4,6 or 8 as its unit place.
A number is divisible by 3 if the sum of its digits is a multiple of 3.
A number is divisible by 4 if its last two digits are a multiple of 4.
A number is divisible by 5 if it has 0 or 5 as its unit place.
A number is divisible by 6 if it is divisible by 2 and 3 both.
A number is divisible by 10 if it has 0 as its unit place.
Calculation:
As the given number is 800, 0 being its unit place, it is divisible by 2, 5 and 10. Now to check for 3, the sum of its digits is \(\displaystyle{8}+{0}+{0}={8}\), which is not a multiple of 3, hence 800 is not divisible by 3. As 00 is a multiple of 4, it means 800 is divisible by 4. Also, as 800 is not divisible by 3, it is not divisible by 6
Conclusion:
The given number is divisible by 2,4,5 and 10 but not 3 and 6.
0
 
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