Sort the following numbers into those that are— (a) divisible by 2 only (b) divisible by 5 only (c) divisible by 10 only (d) divisible by 2, 5, and 10. Numbers: 90, 22, 38, 30, 75, 45, 66, 78, 62, 40, 84, 56, 25, 95, 55
22, 38, 66, 78, 62, 84, 56
75, 45, 25, 95, 55
None. Any number divisible by 10 is automatically divisible by both 2 and 5.
90, 30, 40
Explanation
(a) These numbers end in 2, 4, 6, or 8 (making them divisible by 2) but do not end in 0 or 5 (so not divisible by 5). (b) These numbers end in 5 (making them divisible by 5) but not in 0, 2, 4, 6, or 8 (so not divisible by 2). (c) There are no numbers divisible by 10 only because divisibility by 10 implies divisibility by both 2 and 5. (d) These numbers end in 0, making them divisible by 10. Since they are divisible by 10, they are automatically divisible by both 2 and 5.