Step-by-step solution to find the factors and factor pairs of 5,040:
- If a whole number divides 5,040 evenly (remainder = 0), then it is a factor of 5,040 (divisor factor), and the corresponding quotient is also a factor of 5,040 (quotient factor)
- Divisor factors and quotient factors form a complete list of the factors and factor pairs of 5,040
- With the exception of 0, all whole numbers less than or equal to the square root of 5,040 (√5040 ) are possible divisor factors of 5,040
- √5040 = 70.993
- Possible Divisor Factors of 5,040: 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, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70
- Filter list of possible divisor factors by testing divisibility of 5,040 by 2, 3, 4, 5, 8, 9, and 10
- Possible Divisor Factors of 5,040 (filtered): 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, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70
- Divide 5,040 by the possible divisor factors in the filtered list
- Factors of 5,040: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 48, 56, 60, 63, 70, 72, 80, 84, 90, 105, 112, 120, 126, 140, 144, 168, 180, 210, 240, 252, 280, 315, 336, 360, 420, 504, 560, 630, 720, 840, 1008, 1260, 1680, 2520, 5040
- Factor Pairs of 5,040: (1*5040) (2*2520) (3*1680) (4*1260) (5*1008) (6*840) (7*720) (8*630) (9*560) (10*504) (12*420) (14*360) (15*336) (16*315) (18*280) (20*252) (21*240) (24*210) (28*180) (30*168) (35*144) (36*140) (40*126) (42*120) (45*112) (48*105) (56*90) (60*84) (63*80) (70*72)
- Note: the first number in each factor pair is a divisor factor and the second number is a corresponding quotient factor
