Step-by-step solution to find the factors and factor pairs of 108:
- If a whole number divides 108 evenly (remainder = 0), then it is a factor of 108 (divisor factor), and the corresponding quotient is also a factor of 108 (quotient factor)
- Divisor factors and quotient factors form a complete list of the factors and factor pairs of 108
- With the exception of 0, all whole numbers less than or equal to the square root of 108 (√108 ) are possible divisor factors of 108
- √108 = 10.3923
- Possible Divisor Factors of 108: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
- Filter list of possible divisor factors by testing divisibility of 108 by 2, 3, 4, 5, 9, and 10
- Possible Divisor Factors of 108 (filtered): 1, 2, 3, 4, 6, 7, 8, 9
- Divide 108 by the possible divisor factors in the filtered list
- Factors of 108: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
- Factor Pairs of 108: (1*108) (2*54) (3*36) (4*27) (6*18) (9*12)
- Note: the first number in each factor pair is a divisor factor and the second number is a corresponding quotient factor
