Step-by-step solution to find the factors and factor pairs of 1,200:
- If a whole number divides 1,200 evenly (remainder = 0), then it is a factor of 1,200 (divisor factor), and the corresponding quotient is also a factor of 1,200 (quotient factor)
- Divisor factors and quotient factors form a complete list of the factors and factor pairs of 1,200
- With the exception of 0, all whole numbers less than or equal to the square root of 1,200 (√1200 ) are possible divisor factors of 1,200
- √1200 = 34.641
- Possible Divisor Factors of 1,200: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34
- Filter list of possible divisor factors by testing divisibility of 1,200 by 2, 3, 4, 5, 8, 9, and 10
- Possible Divisor Factors of 1,200 (filtered): 1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15, 16, 17, 19, 20, 21, 22, 23, 24, 25, 26, 28, 29, 30, 31, 32, 33, 34
- Divide 1,200 by the possible divisor factors in the filtered list
- Factors of 1,200: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 150, 200, 240, 300, 400, 600, 1200
- Factor Pairs of 1,200: (1*1200) (2*600) (3*400) (4*300) (5*240) (6*200) (8*150) (10*120) (12*100) (15*80) (16*75) (20*60) (24*50) (25*48) (30*40)
- Note: the first number in each factor pair is a divisor factor and the second number is a corresponding quotient factor
