Step-by-step solution to find the factors and factor pairs of 74:
- If a whole number divides 74 evenly (remainder = 0), then it is a factor of 74 (divisor factor), and the corresponding quotient is also a factor of 74 (quotient factor)
- Divisor factors and quotient factors form a complete list of the factors and factor pairs of 74
- With the exception of 0, all whole numbers less than or equal to the square root of 74 (√74 ) are possible divisor factors of 74
- √74 = 8.6023
- Possible Divisor Factors of 74: 1, 2, 3, 4, 5, 6, 7, 8
- Filter list of possible divisor factors by testing divisibility of 74 by 2, 3, 4, and 5
- Possible Divisor Factors of 74 (filtered): 1, 2, 7
- Divide 74 by the possible divisor factors in the filtered list
- Factors of 74: 1, 2, 37, 74
- Factor Pairs of 74: (1*74) (2*37)
- Note: the first number in each factor pair is a divisor factor and the second number is a corresponding quotient factor