Step-by-step solution to find the factors and factor pairs of 180:
- If a whole number divides 180 evenly (remainder = 0), then it is a factor of 180 (divisor factor), and the corresponding quotient is also a factor of 180 (quotient factor)
- Divisor factors and quotient factors form a complete list of the factors and factor pairs of 180
- With the exception of 0, all whole numbers less than or equal to the square root of 180 (√180 ) are possible divisor factors of 180
- √180 = 13.4164
- Possible Divisor Factors of 180: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13
- Filter list of possible divisor factors by testing divisibility of 180 by 2, 3, 4, 5, 9, and 10
- Possible Divisor Factors of 180 (filtered): 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13
- Divide 180 by the possible divisor factors in the filtered list
- Factors of 180: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
- Factor Pairs of 180: (1*180) (2*90) (3*60) (4*45) (5*36) (6*30) (9*20) (10*18) (12*15)
- Note: the first number in each factor pair is a divisor factor and the second number is a corresponding quotient factor
