Step-by-step solution to find the factors and factor pairs of 1,000:
- If a whole number divides 1,000 evenly (remainder = 0), then it is a factor of 1,000 (divisor factor), and the corresponding quotient is also a factor of 1,000 (quotient factor)
- Divisor factors and quotient factors form a complete list of the factors and factor pairs of 1,000
- With the exception of 0, all whole numbers less than or equal to the square root of 1,000 (√1000 ) are possible divisor factors of 1,000
- √1000 = 31.6228
- Possible Divisor Factors of 1,000: 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
- Filter list of possible divisor factors by testing divisibility of 1,000 by 2, 3, 4, 5, 8, 9, and 10
- Possible Divisor Factors of 1,000 (filtered): 1, 2, 4, 5, 7, 8, 10, 11, 13, 14, 16, 17, 19, 20, 22, 23, 25, 26, 28, 29, 31
- Divide 1,000 by the possible divisor factors in the filtered list
- Factors of 1,000: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000
- Factor Pairs of 1,000: (1*1000) (2*500) (4*250) (5*200) (8*125) (10*100) (20*50) (25*40)
- Note: the first number in each factor pair is a divisor factor and the second number is a corresponding quotient factor
