Step-by-step solution to find the factors and factor pairs of 315:
- If a whole number divides 315 evenly (remainder = 0), then it is a factor of 315 (divisor factor), and the corresponding quotient is also a factor of 315 (quotient factor)
- Divisor factors and quotient factors form a complete list of the factors and factor pairs of 315
- With the exception of 0, all whole numbers less than or equal to the square root of 315 (√315 ) are possible divisor factors of 315
- √315 = 17.7482
- Possible Divisor Factors of 315: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17
- Filter list of possible divisor factors by testing divisibility of 315 by 2, 3, 4, 5, 9, and 10
- Possible Divisor Factors of 315 (filtered): 1, 3, 5, 7, 9, 11, 13, 15, 17
- Divide 315 by the possible divisor factors in the filtered list
- Factors of 315: 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
- Factor Pairs of 315: (1*315) (3*105) (5*63) (7*45) (9*35) (15*21)
- Note: the first number in each factor pair is a divisor factor and the second number is a corresponding quotient factor
