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