24
Yes.
integer multiply integer divide 360
The positive integer factors of 304 are: 1, 2, 4, 8, 16, 19, 38, 76, 152, 304 This is a total of 10 positive integer factors.
Rational. 360 is an integer, and all integers are rational.
30 has exactly 8 factors 1,2,3,5,6,10,15,30
There are 4 positive integer factors of 1981. These are: 1, 7, 283, 1981
16 has five positive integer factors. They are 1, 2, 4, 8, and 16.
The number 83 is prime. The only positive integer factors of 83 are itself and 1.
The number 853 is prime - it has no positive integer factors other than itself and 1.
The prime factors of 360 are 2, 2, 2, 3, 3 and 5
Including itself and 1, the number 7429 has eight positive integer factors. They are: 1, 17, 19, 23, 323, 391, 437, 7429
If the interior angle of a regular polygon is an integer, then so is the exterior angle.For a regular polygon, the exterior angles are all the same and can be calculated as 360° ÷ number of sides; for this to be an integer, the number of sides must be a factor of 360.To be a polygon, the shape must have at least 3 sidesSo the question is the same as how many factors are there of 360 which are greater than or equal to 3.360 = 2³ × 3² × 5 → it has (3+1)×(2+1)×(1+1) = 4×3×2 = 24 factorsOf these, the factors 1 (= 2⁰ × 3⁰ × 5⁰) and 2 (= 2¹ × 3⁰ × 5⁰) are less than 3, so there are 24 - 2 = 22 factors greater than or equal to 3.→ there are 22 regular polygons with integer interior angles.--------------------------------------The factors of 360 are: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360→The regular polygons with integer interior angles are:3 sides - equilateral triangle4 sides - square5 sides - pentagon6 sides - hexagon8 sides - octagon9 sides - nonagon10 sides - decagon12 sides - duodecagon15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360 sides (not really met, so you can look up the names if you are really interested).