Step-by-step solution to find the factors and factor pairs of 84:
- If a whole number divides 84 evenly (remainder = 0), then it is a factor of 84 (divisor factor), and the corresponding quotient is also a factor of 84 (quotient factor)
- Divisor factors and quotient factors form a complete list of the factors and factor pairs of 84
- With the exception of 0, all whole numbers less than or equal to the square root of 84 (√84 ) are possible divisor factors of 84
- √84 = 9.1652
- Possible Divisor Factors of 84: 1, 2, 3, 4, 5, 6, 7, 8, 9
- Filter list of possible divisor factors by testing divisibility of 84 by 2, 3, 4, 5, and 9
- Possible Divisor Factors of 84 (filtered): 1, 2, 3, 4, 6, 7, 8
- Divide 84 by the possible divisor factors in the filtered list
- Factors of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
- Factor Pairs of 84: (1*84) (2*42) (3*28) (4*21) (6*14) (7*12)
- Note: the first number in each factor pair is a divisor factor and the second number is a corresponding quotient factor
