Step-by-step solution to find the factors and factor pairs of 270:
- If a whole number divides 270 evenly (remainder = 0), then it is a factor of 270 (divisor factor), and the corresponding quotient is also a factor of 270 (quotient factor)
- Divisor factors and quotient factors form a complete list of the factors and factor pairs of 270
- With the exception of 0, all whole numbers less than or equal to the square root of 270 (√270 ) are possible divisor factors of 270
- √270 = 16.4317
- Possible Divisor Factors of 270: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16
- Filter list of possible divisor factors by testing divisibility of 270 by 2, 3, 4, 5, 9, and 10
- Possible Divisor Factors of 270 (filtered): 1, 2, 3, 5, 6, 7, 9, 10, 11, 13, 14, 15
- Divide 270 by the possible divisor factors in the filtered list
- Factors of 270: 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
- Factor Pairs of 270: (1*270) (2*135) (3*90) (5*54) (6*45) (9*30) (10*27) (15*18)
- Note: the first number in each factor pair is a divisor factor and the second number is a corresponding quotient factor
