Step-by-step solution to find the factors and factor pairs of 144:
- If a whole number divides 144 evenly (remainder = 0), then it is a factor of 144 (divisor factor), and the corresponding quotient is also a factor of 144 (quotient factor)
- Divisor factors and quotient factors form a complete list of the factors and factor pairs of 144
- With the exception of 0, all whole numbers less than or equal to the square root of 144 (√144 ) are possible divisor factors of 144
- √144 = 12
- Possible Divisor Factors of 144: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12
- Filter list of possible divisor factors by testing divisibility of 144 by 2, 3, 4, 5, 9, and 10
- Possible Divisor Factors of 144 (filtered): 1, 2, 3, 4, 6, 7, 8, 9, 11, 12
- Divide 144 by the possible divisor factors in the filtered list
- Factors of 144: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
- Factor Pairs of 144: (1*144) (2*72) (3*48) (4*36) (6*24) (8*18) (9*16) (12*12)
- Note: the first number in each factor pair is a divisor factor and the second number is a corresponding quotient factor
