Step-by-step solution to find the factors and factor pairs of 1,305:
- If a whole number divides 1,305 evenly (remainder = 0), then it is a factor of 1,305 (divisor factor), and the corresponding quotient is also a factor of 1,305 (quotient factor)
- Divisor factors and quotient factors form a complete list of the factors and factor pairs of 1,305
- With the exception of 0, all whole numbers less than or equal to the square root of 1,305 (√1305 ) are possible divisor factors of 1,305
- √1305 = 36.1248
- Possible Divisor Factors of 1,305: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36
- Filter list of possible divisor factors by testing divisibility of 1,305 by 2, 3, 4, 5, 8, 9, and 10
- Possible Divisor Factors of 1,305 (filtered): 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35
- Divide 1,305 by the possible divisor factors in the filtered list
- Factors of 1,305: 1, 3, 5, 9, 15, 29, 45, 87, 145, 261, 435, 1305
- Factor Pairs of 1,305: (1*1305) (3*435) (5*261) (9*145) (15*87) (29*45)
- Note: the first number in each factor pair is a divisor factor and the second number is a corresponding quotient factor
