Step-by-step solution to find the factors and factor pairs of 175:
- If a whole number divides 175 evenly (remainder = 0), then it is a factor of 175 (divisor factor), and the corresponding quotient is also a factor of 175 (quotient factor)
- Divisor factors and quotient factors form a complete list of the factors and factor pairs of 175
- With the exception of 0, all whole numbers less than or equal to the square root of 175 (√175 ) are possible divisor factors of 175
- √175 = 13.2288
- Possible Divisor Factors of 175: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13
- Filter list of possible divisor factors by testing divisibility of 175 by 2, 3, 4, 5, 9, and 10
- Possible Divisor Factors of 175 (filtered): 1, 5, 7, 11, 13
- Divide 175 by the possible divisor factors in the filtered list
- Factors of 175: 1, 5, 7, 25, 35, 175
- Factor Pairs of 175: (1*175) (5*35) (7*25)
- Note: the first number in each factor pair is a divisor factor and the second number is a corresponding quotient factor
