Step-by-step solution to find the factors and factor pairs of 255:
- If a whole number divides 255 evenly (remainder = 0), then it is a factor of 255 (divisor factor), and the corresponding quotient is also a factor of 255 (quotient factor)
- Divisor factors and quotient factors form a complete list of the factors and factor pairs of 255
- With the exception of 0, all whole numbers less than or equal to the square root of 255 (√255 ) are possible divisor factors of 255
- √255 = 15.9687
- Possible Divisor Factors of 255: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15
- Filter list of possible divisor factors by testing divisibility of 255 by 2, 3, 4, 5, 9, and 10
- Possible Divisor Factors of 255 (filtered): 1, 3, 5, 7, 11, 13, 15
- Divide 255 by the possible divisor factors in the filtered list
- Factors of 255: 1, 3, 5, 15, 17, 51, 85, 255
- Factor Pairs of 255: (1*255) (3*85) (5*51) (15*17)
- Note: the first number in each factor pair is a divisor factor and the second number is a corresponding quotient factor
