Step-by-step solution to find the factors and factor pairs of 105:
- If a whole number divides 105 evenly (remainder = 0), then it is a factor of 105 (divisor factor), and the corresponding quotient is also a factor of 105 (quotient factor)
- Divisor factors and quotient factors form a complete list of the factors and factor pairs of 105
- With the exception of 0, all whole numbers less than or equal to the square root of 105 (√105 ) are possible divisor factors of 105
- √105 = 10.247
- Possible Divisor Factors of 105: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
- Filter list of possible divisor factors by testing divisibility of 105 by 2, 3, 4, 5, 9, and 10
- Possible Divisor Factors of 105 (filtered): 1, 3, 5, 7
- Divide 105 by the possible divisor factors in the filtered list
- Factors of 105: 1, 3, 5, 7, 15, 21, 35, 105
- Factor Pairs of 105: (1*105) (3*35) (5*21) (7*15)
- Note: the first number in each factor pair is a divisor factor and the second number is a corresponding quotient factor
