Step-by-step solution to find the factors and factor pairs of 256:
- If a whole number divides 256 evenly (remainder = 0), then it is a factor of 256 (divisor factor), and the corresponding quotient is also a factor of 256 (quotient factor)
- Divisor factors and quotient factors form a complete list of the factors and factor pairs of 256
- With the exception of 0, all whole numbers less than or equal to the square root of 256 (√256 ) are possible divisor factors of 256
- √256 = 16
- Possible Divisor Factors of 256: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16
- Filter list of possible divisor factors by testing divisibility of 256 by 2, 3, 4, 5, 9, and 10
- Possible Divisor Factors of 256 (filtered): 1, 2, 4, 7, 8, 11, 13, 14, 16
- Divide 256 by the possible divisor factors in the filtered list
- Factors of 256: 1, 2, 4, 8, 16, 32, 64, 128, 256
- Factor Pairs of 256: (1*256) (2*128) (4*64) (8*32) (16*16)
- Note: the first number in each factor pair is a divisor factor and the second number is a corresponding quotient factor
