Natural numbers, and intergers are alike because they can both be rational numbers. intergers and natural numbers are diffrent too, a interger uses positives, negitives, and zero when a natural number uses positives.
One way you can remember this is because of a example, it shows a large circle with 2 other smaller circles. In the largest one it says rational because it has natural numbers and intergers can be rational numbers, in the next cirlce it says intergers because it contains positives, negitives, and zero, and in the last circle it has natural numbers because it only uses positive numbers.
Here it is in order rational numbers;