Step-by-step solution to find the factors and factor pairs of 300:
- If a whole number divides 300 evenly (remainder = 0), then it is a factor of 300 (divisor factor), and the corresponding quotient is also a factor of 300 (quotient factor)
- Divisor factors and quotient factors form a complete list of the factors and factor pairs of 300
- With the exception of 0, all whole numbers less than or equal to the square root of 300 (√300 ) are possible divisor factors of 300
- √300 = 17.3205
- Possible Divisor Factors of 300: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17
- Filter list of possible divisor factors by testing divisibility of 300 by 2, 3, 4, 5, 9, and 10
- Possible Divisor Factors of 300 (filtered): 1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15, 16, 17
- Divide 300 by the possible divisor factors in the filtered list
- Factors of 300: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
- Factor Pairs of 300: (1*300) (2*150) (3*100) (4*75) (5*60) (6*50) (10*30) (12*25) (15*20)
- Note: the first number in each factor pair is a divisor factor and the second number is a corresponding quotient factor
