Is 5,625 divisible by 6?
AYes, because it passes the tests for both 2 and 3
BYes, because its last digit happens to be 5
CNo, because 5,625 fails the divisibility test for 2
DNo, because its digit sum is not divisible by 6
Answer & Solution
Correct answer: C. No, because 5,625 fails the divisibility test for 2
1. A number is divisible by 6 only when it is divisible by both 2 and 3.
2. 5,625 passes the test for 3, since its digits sum to 18.
3. 5,625 fails the test for 2, since it does not end in 0, 2, 4, 6, or 8.
4. Because it fails even one of the two required tests, 5,625 is not divisible by 6.
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 1 "Foundations", section 1.1 Introduction to Whole Numbers_
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