Step-by-step solution to find the factors and factor pairs of 114:
- If a whole number divides 114 evenly (remainder = 0), then it is a factor of 114 (divisor factor), and the corresponding quotient is also a factor of 114 (quotient factor)
- Divisor factors and quotient factors form a complete list of the factors and factor pairs of 114
- With the exception of 0, all whole numbers less than or equal to the square root of 114 (√114 ) are possible divisor factors of 114
- √114 = 10.6771
- Possible Divisor Factors of 114: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
- Filter list of possible divisor factors by testing divisibility of 114 by 2, 3, 4, 5, 9, and 10
- Possible Divisor Factors of 114 (filtered): 1, 2, 3, 6, 7
- Divide 114 by the possible divisor factors in the filtered list
- Factors of 114: 1, 2, 3, 6, 19, 38, 57, 114
- Factor Pairs of 114: (1*114) (2*57) (3*38) (6*19)
- Note: the first number in each factor pair is a divisor factor and the second number is a corresponding quotient factor