The correct answer is 10.
When a multiplication fact includes 10 as a factor, the products will always end with the digits 0 and 5. This is due to the fact that multiplying any number by 10 results in a number that has 0 in the ones place.
If you multiply 10 by an even number, it would end in 0 (e.g. 10 x 2 = 20), and if you multiply 10 by an odd number, it would also end in 0 (e.g. 10 x 3 = 30, 10 x 5 = 50). However, it should be noted that only when observing the multiples of 5 specifically, do you find products ending in 0 and 5. But with 10 as a factor, 0 is dominant since the last digit will always be 0.
In summary, among the options given (2, 5, or 10), the only factor that guarantees a product that can include both 0 and 5 in the ones place consistently is 10.