The factors of a number are all positive integers that divide evenly into the number. The factors of 32 are 1, 2, 4, 8, 16, 32.

To add these fractions, first find the lowest common multiple of their denominators. The first few multiples of 9 are [9, 18, 27, 36, 45, 54, 63, 72, 81, 90] and the first few multiples of 15 are [15, 30, 45, 60, 75, 90]. The first few multiples they share are [45, 90] making 45 the smallest multiple 9 and 15 share.

Next, convert the fractions so each denominator equals the lowest common multiple:

\( \frac{5 x 5}{9 x 5} \) + \( \frac{2 x 3}{15 x 3} \)

\( \frac{25}{45} \) + \( \frac{6}{45} \)

Now, because the fractions share a common denominator, you can add them:

\( \frac{25 + 6}{45} \) = \( \frac{31}{45} \) = \(\frac{31}{45}\)

If the tiger has consumed 36 pounds of food in 3 days that's \( \frac{36}{3} \) = 12 pounds of food per day. The tiger needs to consume 108 - 36 = 72 more pounds of food to reach 108 pounds total. At 12 pounds of food per day that's \( \frac{72}{12} \) = 6 more days.

To raise a term with an exponent to another exponent, retain the base and multiply the exponents:

A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.