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.
Thx
I NEED HELP ON THIS TOO!
27
25 26. 27
1=25. 1=26 1=26
5=5. 2=13 3=9
6=4
i would choose 27
To determine which number to choose in order to move as many spaces as possible, we need to find the number among 25, 26, and 27 that results in the largest sum of prime factors.
Let's break down the process step by step:
1. Find the prime factors of each number:
- Prime factors of 25: 5, 5 (25 = 5 * 5)
- Prime factors of 26: 2, 13 (26 = 2 * 13)
- Prime factors of 27: 3, 3, 3 (27 = 3 * 3 * 3)
2. Calculate the sum of the prime factors for each number:
- Sum of prime factors of 25: 5 + 5 = 10
- Sum of prime factors of 26: 2 + 13 = 15
- Sum of prime factors of 27: 3 + 3 + 3 = 9
By comparing the sums of the prime factors, we can see that the number 26 has the largest sum (15). Therefore, if you want to move as many spaces as possible, you should choose the number 26.
It's important to note that the prime factorization of a number is crucial in this process. To factorize a number into its prime factors, you need to divide the number by prime numbers starting from 2 until you can't divide anymore. Taking the example of 25, you keep dividing by 5 until you're left with 1 as the quotient.