In the following exercises, use the divisibility tests to determine whether each number is divisible by 2,3,4,5,6 and 10. Given: 78

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In the following exercises, use the divisibility tests to determine whether each number is divisible by 2,3,4,5,6 and 10.  Given: 78

Yusuf Keller · Accepted Answer

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 78, 8 being its unit place, it is divisible by 2, but not 5 and 10. Now to check for 3, the sum of its digits is 7+8=15, which is a multiple of 3, hence 78 is divisible by 3. As 78 is not a multiple of 4, it is not divisible by 4. Also, as 78 is divisible by 2 and 3 both, it is divisible by 6.  Conclusion:  The given number is divisible by 2,3 and 6 but not 4,5 and 10.

Use the divisibility tests to determine whether each number is divisible by 2,3,4,5,6 and 10 - 78

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