Step-by-step solution to find the factors and factor pairs of 756:
- If a whole number divides 756 evenly (remainder = 0), then it is a factor of 756 (divisor factor), and the corresponding quotient is also a factor of 756 (quotient factor)
- Divisor factors and quotient factors form a complete list of the factors and factor pairs of 756
- With the exception of 0, all whole numbers less than or equal to the square root of 756 (√756 ) are possible divisor factors of 756
- √756 = 27.4955
- Possible Divisor Factors of 756: 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
- Filter list of possible divisor factors by testing divisibility of 756 by 2, 3, 4, 5, 9, and 10
- Possible Divisor Factors of 756 (filtered): 1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 13, 14, 16, 17, 18, 19, 21, 22, 23, 24, 26, 27
- Divide 756 by the possible divisor factors in the filtered list
- Factors of 756: 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
- Factor Pairs of 756: (1*756) (2*378) (3*252) (4*189) (6*126) (7*108) (9*84) (12*63) (14*54) (18*42) (21*36) (27*28)
- Note: the first number in each factor pair is a divisor factor and the second number is a corresponding quotient factor
