Step-by-step solution to find the factors and factor pairs of 138:
- If a whole number divides 138 evenly (remainder = 0), then it is a factor of 138 (divisor factor), and the corresponding quotient is also a factor of 138 (quotient factor)
- Divisor factors and quotient factors form a complete list of the factors and factor pairs of 138
- With the exception of 0, all whole numbers less than or equal to the square root of 138 (√138 ) are possible divisor factors of 138
- √138 = 11.7473
- Possible Divisor Factors of 138: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11
- Filter list of possible divisor factors by testing divisibility of 138 by 2, 3, 4, 5, 9, and 10
- Possible Divisor Factors of 138 (filtered): 1, 2, 3, 6, 7, 11
- Divide 138 by the possible divisor factors in the filtered list
- Factors of 138: 1, 2, 3, 6, 23, 46, 69, 138
- Factor Pairs of 138: (1*138) (2*69) (3*46) (6*23)
- Note: the first number in each factor pair is a divisor factor and the second number is a corresponding quotient factor
