Step-by-step solution to find the factors and factor pairs of 165:
- If a whole number divides 165 evenly (remainder = 0), then it is a factor of 165 (divisor factor), and the corresponding quotient is also a factor of 165 (quotient factor)
- Divisor factors and quotient factors form a complete list of the factors and factor pairs of 165
- With the exception of 0, all whole numbers less than or equal to the square root of 165 (√165 ) are possible divisor factors of 165
- √165 = 12.8452
- Possible Divisor Factors of 165: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12
- Filter list of possible divisor factors by testing divisibility of 165 by 2, 3, 4, 5, 9, and 10
- Possible Divisor Factors of 165 (filtered): 1, 3, 5, 7, 11
- Divide 165 by the possible divisor factors in the filtered list
- Factors of 165: 1, 3, 5, 11, 15, 33, 55, 165
- Factor Pairs of 165: (1*165) (3*55) (5*33) (11*15)
- Note: the first number in each factor pair is a divisor factor and the second number is a corresponding quotient factor
