Step-by-step solution to find the factors and factor pairs of 60:
- If a whole number divides 60 evenly (remainder = 0), then it is a factor of 60 (divisor factor), and the corresponding quotient is also a factor of 60 (quotient factor)
- Divisor factors and quotient factors form a complete list of the factors and factor pairs of 60
- With the exception of 0, all whole numbers less than or equal to the square root of 60 (√60 ) are possible divisor factors of 60
- √60 = 7.746
- Possible Divisor Factors of 60: 1, 2, 3, 4, 5, 6, 7
- Filter list of possible divisor factors by testing divisibility of 60 by 2, 3, 4, and 5
- Possible Divisor Factors of 60 (filtered): 1, 2, 3, 4, 5, 6, 7
- Divide 60 by the possible divisor factors in the filtered list
- Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
- Factor Pairs of 60: (1*60) (2*30) (3*20) (4*15) (5*12) (6*10)
- Note: the first number in each factor pair is a divisor factor and the second number is a corresponding quotient factor