Step-by-step solution to find the factors and factor pairs of 225:
- If a whole number divides 225 evenly (remainder = 0), then it is a factor of 225 (divisor factor), and the corresponding quotient is also a factor of 225 (quotient factor)
- Divisor factors and quotient factors form a complete list of the factors and factor pairs of 225
- With the exception of 0, all whole numbers less than or equal to the square root of 225 (√225 ) are possible divisor factors of 225
- √225 = 15
- Possible Divisor Factors of 225: 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 225 by 2, 3, 4, 5, 9, and 10
- Possible Divisor Factors of 225 (filtered): 1, 3, 5, 7, 9, 11, 13, 15
- Divide 225 by the possible divisor factors in the filtered list
- Factors of 225: 1, 3, 5, 9, 15, 25, 45, 75, 225
- Factor Pairs of 225: (1*225) (3*75) (5*45) (9*25) (15*15)
- Note: the first number in each factor pair is a divisor factor and the second number is a corresponding quotient factor
