Step-by-step solution to find the factors and factor pairs of 81:
- If a whole number divides 81 evenly (remainder = 0), then it is a factor of 81 (divisor factor), and the corresponding quotient is also a factor of 81 (quotient factor)
- Divisor factors and quotient factors form a complete list of the factors and factor pairs of 81
- With the exception of 0, all whole numbers less than or equal to the square root of 81 (√81 ) are possible divisor factors of 81
- √81 = 9
- Possible Divisor Factors of 81: 1, 2, 3, 4, 5, 6, 7, 8, 9
- Filter list of possible divisor factors by testing divisibility of 81 by 2, 3, 4, 5, and 9
- Possible Divisor Factors of 81 (filtered): 1, 3, 7, 9
- Divide 81 by the possible divisor factors in the filtered list
- Factors of 81: 1, 3, 9, 27, 81
- Factor Pairs of 81: (1*81) (3*27) (9*9)
- Note: the first number in each factor pair is a divisor factor and the second number is a corresponding quotient factor
