To find two factors of 240 that either add or subtract to 14, we first need to identify the factors of 240.
The factors of 240 are: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, and 240.
Next, we look for pairs of these factors:
- (1, 240)
- (2, 120)
- (3, 80)
- (4, 60)
- (5, 48)
- (6, 40)
- (8, 30)
- (10, 24)
- (12, 20)
- (15, 16)
Now, we can check these pairs to see if any show a sum or difference of 14:
- 10 + 24 = 34
- 12 + 20 = 32
- 15 – 1 = 14
- 24 – 10 = 14
As we can see, the factors 10 and 24 meet our requirement:
- 10 + 24 = 34
- 24 – 10 = 14
Thus, the two factors of 240 that subtract to 14 are 10 and 24.