Step-by-step solution to find the factors and factor pairs of 174:
- If a whole number divides 174 evenly (remainder = 0), then it is a factor of 174 (divisor factor), and the corresponding quotient is also a factor of 174 (quotient factor)
- Divisor factors and quotient factors form a complete list of the factors and factor pairs of 174
- With the exception of 0, all whole numbers less than or equal to the square root of 174 (√174 ) are possible divisor factors of 174
- √174 = 13.1909
- Possible Divisor Factors of 174: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13
- Filter list of possible divisor factors by testing divisibility of 174 by 2, 3, 4, 5, 9, and 10
- Possible Divisor Factors of 174 (filtered): 1, 2, 3, 6, 7, 11, 13
- Divide 174 by the possible divisor factors in the filtered list
- Factors of 174: 1, 2, 3, 6, 29, 58, 87, 174
- Factor Pairs of 174: (1*174) (2*87) (3*58) (6*29)
- Note: the first number in each factor pair is a divisor factor and the second number is a corresponding quotient factor
