Question

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

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

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.