Step-by-step solution to find the factors and factor pairs of 126:
- If a whole number divides 126 evenly (remainder = 0), then it is a factor of 126 (divisor factor), and the corresponding quotient is also a factor of 126 (quotient factor)
- Divisor factors and quotient factors form a complete list of the factors and factor pairs of 126
- With the exception of 0, all whole numbers less than or equal to the square root of 126 (√126 ) are possible divisor factors of 126
- √126 = 11.225
- Possible Divisor Factors of 126: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11
- Filter list of possible divisor factors by testing divisibility of 126 by 2, 3, 4, 5, 9, and 10
- Possible Divisor Factors of 126 (filtered): 1, 2, 3, 6, 7, 9, 11
- Divide 126 by the possible divisor factors in the filtered list
- Factors of 126: 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
- Factor Pairs of 126: (1*126) (2*63) (3*42) (6*21) (7*18) (9*14)
- Note: the first number in each factor pair is a divisor factor and the second number is a corresponding quotient factor
