Step-by-step solution to find the factors and factor pairs of 289:
- If a whole number divides 289 evenly (remainder = 0), then it is a factor of 289 (divisor factor), and the corresponding quotient is also a factor of 289 (quotient factor)
- Divisor factors and quotient factors form a complete list of the factors and factor pairs of 289
- With the exception of 0, all whole numbers less than or equal to the square root of 289 (√289 ) are possible divisor factors of 289
- √289 = 17
- Possible Divisor Factors of 289: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17
- Filter list of possible divisor factors by testing divisibility of 289 by 2, 3, 4, 5, 9, and 10
- Possible Divisor Factors of 289 (filtered): 1, 7, 11, 13, 17
- Divide 289 by the possible divisor factors in the filtered list
- Factors of 289: 1, 17, 289
- Factor Pairs of 289: (1*289) (17*17)
- Note: the first number in each factor pair is a divisor factor and the second number is a corresponding quotient factor
