Final answer:
To find a number x × 5 that is divisible by 26, x must be an even number, since 26 is 2 × 13, and an even number multiplied by 5 will result in a number that can be divisible by both 2 and 13.
Step-by-step explanation:
If x × 5 is a number that is completely divisible by 13, we need to find which of these numbers will be completely divisible by 26. A number that is divisible by 26 must also be divisible by 13 since 26 is 2 × 13.
To find a number completely divisible by 26, we can take the number x × 5 that is divisible by 13 and ensure that x is even. This is because multiplying an even number by 5 will result in a number ending in 0 or 5, and if that number is also divisible by 13, then the full product, x × 5, will be divisible by 2 × 13, which is 26.
Therefore, for x × 5 to be divisible by 26, x must be even, as an odd number multiplied by 5 would give us a product ending in 5, which cannot be divisible by 26.