Step-by-step solution to find the factors and factor pairs of 252:
- If a whole number divides 252 evenly (remainder = 0), then it is a factor of 252 (divisor factor), and the corresponding quotient is also a factor of 252 (quotient factor)
- Divisor factors and quotient factors form a complete list of the factors and factor pairs of 252
- With the exception of 0, all whole numbers less than or equal to the square root of 252 (√252 ) are possible divisor factors of 252
- √252 = 15.8745
- Possible Divisor Factors of 252: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15
- Filter list of possible divisor factors by testing divisibility of 252 by 2, 3, 4, 5, 9, and 10
- Possible Divisor Factors of 252 (filtered): 1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 13, 14
- Divide 252 by the possible divisor factors in the filtered list
- Factors of 252: 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
- Factor Pairs of 252: (1*252) (2*126) (3*84) (4*63) (6*42) (7*36) (9*28) (12*21) (14*18)
- Note: the first number in each factor pair is a divisor factor and the second number is a corresponding quotient factor
