What two factors of 288 add up to be 23?

Answer 1

311

Answer 2

-265

Answer 3

The factors of 288 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288. Now, let's look for two that add to 23.

• We can ignore all the factors from 24 and on, since they're already too high.
• 18 doesn't work either, because 23 - 18 = 5, and we can't choose 5.
• The result of adding two even numbers together is an even number, so we need to choose 1, 3, or 9 to add to one of the others.
• 16 + 9 = 25, which is too high.
• 16 + 3 = 19, which is too low.
• 12 + 9 = 21, which is already too low.

It appears that none of the factors of 288 add to 23. If you allow subtraction, 24 - 1 works.

Answer 4

To find the two factors of 288 that add up to 23, we need to break down 288 into its prime factors. 288 can be expressed as 2^5 * 3^2. To find two factors that add up to 23, we need to consider pairs of factors that multiply to 288. The factors that add up to 23 are 16 and 18, which are 2^4 * 3 and 2^1 * 3^2 respectively.

Answer 5

-9 and +32