Step-by-step solution to find the factors and factor pairs of 45:
- If a whole number divides 45 evenly (remainder = 0), then it is a factor of 45 (divisor factor), and the corresponding quotient is also a factor of 45 (quotient factor)
- Divisor factors and quotient factors form a complete list of the factors and factor pairs of 45
- With the exception of 0, all whole numbers less than or equal to the square root of 45 (√45 ) are possible divisor factors of 45
- √45 = 6.7082
- Possible Divisor Factors of 45: 1, 2, 3, 4, 5, 6
- Filter list of possible divisor factors by testing divisibility of 45 by 2, 3, 4, and 5
- Possible Divisor Factors of 45 (filtered): 1, 3, 5
- Divide 45 by the possible divisor factors in the filtered list
- Factors of 45: 1, 3, 5, 9, 15, 45
- Factor Pairs of 45: (1*45) (3*15) (5*9)
- Note: the first number in each factor pair is a divisor factor and the second number is a corresponding quotient factor