Step-by-step solution to find the factors and factor pairs of 500:
- If a whole number divides 500 evenly (remainder = 0), then it is a factor of 500 (divisor factor), and the corresponding quotient is also a factor of 500 (quotient factor)
- Divisor factors and quotient factors form a complete list of the factors and factor pairs of 500
- With the exception of 0, all whole numbers less than or equal to the square root of 500 (√500 ) are possible divisor factors of 500
- √500 = 22.3607
- Possible Divisor Factors of 500: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22
- Filter list of possible divisor factors by testing divisibility of 500 by 2, 3, 4, 5, 9, and 10
- Possible Divisor Factors of 500 (filtered): 1, 2, 4, 5, 7, 8, 10, 11, 13, 14, 16, 17, 19, 20, 22
- Divide 500 by the possible divisor factors in the filtered list
- Factors of 500: 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
- Factor Pairs of 500: (1*500) (2*250) (4*125) (5*100) (10*50) (20*25)
- Note: the first number in each factor pair is a divisor factor and the second number is a corresponding quotient factor
