Question

In a game, you draw a card with three consecutive numbers on it. You can choose one of the numbers and find the sum of its prime factors. Then you can move that many spaces on a game board. You draw a card with the numbers 25, 26, 27. Which number should you choose if you want to move as many spaces as possible? Explain.

Answer 1

26

Explanation:

The prime factors of 25 are 5*5. Their sum is 5+5 = 10.

The prime factors of 26 are 2*13. Their sum is 2+13 = 15.

The prime factors of 27 are 3*3*3. Their sum is 3+3+3 = 9.

The greatest of these sums is 15; this means 26 is the best choice.

Answer 2

so sum the prime factors up

25=5*5, 5+5=10
26=2*13, 2+13=15
27=3*3*3, 3+3+3=9

15>10>9

26 is biggest

pick 26