Step-by-step solution to find the factors and factor pairs of 30:
- If a whole number divides 30 evenly (remainder = 0), then it is a factor of 30 (divisor factor), and the corresponding quotient is also a factor of 30 (quotient factor)
- Divisor factors and quotient factors form a complete list of the factors and factor pairs of 30
- With the exception of 0, all whole numbers less than or equal to the square root of 30 (√30 ) are possible divisor factors of 30
- √30 = 5.4772
- Possible Divisor Factors of 30: 1, 2, 3, 4, 5
- Filter list of possible divisor factors by testing divisibility of 30 by 2, 3, 4, and 5
- Possible Divisor Factors of 30 (filtered): 1, 2, 3, 5
- Divide 30 by the possible divisor factors in the filtered list
- Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30
- Factor Pairs of 30: (1*30) (2*15) (3*10) (5*6)
- Note: the first number in each factor pair is a divisor factor and the second number is a corresponding quotient factor