To find the factors of 74, you need to identify all the integers that divide 74 completely without leaving a remainder. Here’s a step-by-step guide:
Factors Calculator
Step 1: Start with 1 and 74
1 and 74 are factors of 74 because 74÷1=74 and 74 ÷ 74 = 1.
Step 2: Check for divisibility with smaller numbers
Start testing smaller numbers to see if they divide 74 completely.
- 2: 74÷2=37, so 2 and 37 are factors.
- 3: 74÷3=24.67 (not a whole number, so 3 is not a factor).
- 4: 74÷4=18.5 (not a whole number, so 4 is not a factor).
- 5: 74÷5=14.8 (not a whole number, so 5 is not a factor).
- Continue checking up to √74≈8.6.
Step 3: List all factors
The factors of 74 are: 1, 2, 37,and 74.
- Positive factors of 74: 1, 2, 37,and 74
- Negative factors of 74: -1, -2, -37,and -74
Key Notes:
- 74 is not a perfect square, so it doesn’t have repeated factors.
- 74 is a composite number (not prime) because it has factors other than 1 and itself.
