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 your asnswer.
Thank you!
well, you can move
5+5 or 2+13 or 3+3+3
Do u mean 5*5, 2*13, 3*3*3?
Its 5 X 5 or 2 X 23 or 3X3X3
You all are wrong
To determine which number you should choose in order to move as many spaces as possible, you need to find the number with the highest sum of prime factors.
First, let's find the prime factors of the given numbers: 25, 26, and 27.
- The prime factors of 25 are 5 and 5.
- The prime factors of 26 are 2 and 13.
- The prime factors of 27 are 3 and 3 and 3.
Next, calculate the sums of the prime factors for each number:
- The sum of the prime factors of 25 is 5 + 5 = 10.
- The sum of the prime factors of 26 is 2 + 13 = 15.
- The sum of the prime factors of 27 is 3 + 3 + 3 = 9.
From these calculations, we can see that the number with the highest sum of prime factors is 26, with a sum of 15. Therefore, if you want to move as many spaces as possible, you should choose the number 26.
By choosing 26, you can move 15 spaces on the game board, which is the highest number of spaces you can move compared to the other options.
Note: It's important to understand the concept of prime factors and how to calculate their sum in order to arrive at the correct answer.