Step-by-step solution to find the factors and factor pairs of 72:
- If a whole number divides 72 evenly (remainder = 0), then it is a factor of 72 (divisor factor), and the corresponding quotient is also a factor of 72 (quotient factor)
- Divisor factors and quotient factors form a complete list of the factors and factor pairs of 72
- With the exception of 0, all whole numbers less than or equal to the square root of 72 (√72 ) are possible divisor factors of 72
- √72 = 8.4853
- Possible Divisor Factors of 72: 1, 2, 3, 4, 5, 6, 7, 8
- Filter list of possible divisor factors by testing divisibility of 72 by 2, 3, 4, and 5
- Possible Divisor Factors of 72 (filtered): 1, 2, 3, 4, 6, 7, 8
- Divide 72 by the possible divisor factors in the filtered list
- Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
- Factor Pairs of 72: (1*72) (2*36) (3*24) (4*18) (6*12) (8*9)
- Note: the first number in each factor pair is a divisor factor and the second number is a corresponding quotient factor
