In the following exercises, use the divisibility tests to determine whether each number is divisible by 2,3,4,5,6 and 10. Given: 264

Question

In the following exercises, use the divisibility tests to determine whether each number is divisible by 2,3,4,5,6 and 10.  Given: 264

Usamah Prosser · 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 264, 4 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 2+6+4=12, which is a multiple of 3, hence 264 is divisible by 3. As 64 is a multiple of 4, it means 264 is divisible by 4. Also, as 264 is divisible by 2 and 3 both, it is divisible by 6.  Conclusion:  The given number is divisible by 2,3,4 and 6 but not 5 and 10.

Use the divisibility tests to determine whether each number is divisible by 2,3,4,5,6 and 10. Given: 264

Answered question

Answer & Explanation

New Questions in Pre-Algebra