Step-by-step solution to find the factors and factor pairs of 196:
- If a whole number divides 196 evenly (remainder = 0), then it is a factor of 196 (divisor factor), and the corresponding quotient is also a factor of 196 (quotient factor)
- Divisor factors and quotient factors form a complete list of the factors and factor pairs of 196
- With the exception of 0, all whole numbers less than or equal to the square root of 196 (√196 ) are possible divisor factors of 196
- √196 = 14
- Possible Divisor Factors of 196: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14
- Filter list of possible divisor factors by testing divisibility of 196 by 2, 3, 4, 5, 9, and 10
- Possible Divisor Factors of 196 (filtered): 1, 2, 4, 7, 8, 11, 13, 14
- Divide 196 by the possible divisor factors in the filtered list
- Factors of 196: 1, 2, 4, 7, 14, 28, 49, 98, 196
- Factor Pairs of 196: (1*196) (2*98) (4*49) (7*28) (14*14)
- Note: the first number in each factor pair is a divisor factor and the second number is a corresponding quotient factor
