Step-by-step solution to find the factors and factor pairs of 100:
- If a whole number divides 100 evenly (remainder = 0), then it is a factor of 100 (divisor factor), and the corresponding quotient is also a factor of 100 (quotient factor)
- Divisor factors and quotient factors form a complete list of the factors and factor pairs of 100
- With the exception of 0, all whole numbers less than or equal to the square root of 100 (√100 ) are possible divisor factors of 100
- √100 = 10
- Possible Divisor Factors of 100: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
- Filter list of possible divisor factors by testing divisibility of 100 by 2, 3, 4, 5, 9, and 10
- Possible Divisor Factors of 100 (filtered): 1, 2, 4, 5, 7, 8, 10
- Divide 100 by the possible divisor factors in the filtered list
- Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100
- Factor Pairs of 100: (1*100) (2*50) (4*25) (5*20) (10*10)
- Note: the first number in each factor pair is a divisor factor and the second number is a corresponding quotient factor