Step-by-step solution to find the factors and factor pairs of 135:
- If a whole number divides 135 evenly (remainder = 0), then it is a factor of 135 (divisor factor), and the corresponding quotient is also a factor of 135 (quotient factor)
- Divisor factors and quotient factors form a complete list of the factors and factor pairs of 135
- With the exception of 0, all whole numbers less than or equal to the square root of 135 (√135 ) are possible divisor factors of 135
- √135 = 11.619
- Possible Divisor Factors of 135: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11
- Filter list of possible divisor factors by testing divisibility of 135 by 2, 3, 4, 5, 9, and 10
- Possible Divisor Factors of 135 (filtered): 1, 3, 5, 7, 9, 11
- Divide 135 by the possible divisor factors in the filtered list
- Factors of 135: 1, 3, 5, 9, 15, 27, 45, 135
- Factor Pairs of 135: (1*135) (3*45) (5*27) (9*15)
- Note: the first number in each factor pair is a divisor factor and the second number is a corresponding quotient factor
