Understanding Common Factors
To determine the common factors of the numbers 15, 45, and 90, we first need to identify the factors of each individual number.
Factors of Each Number
- Factors of 15: 1, 3, 5, 15
- Factors of 45: 1, 3, 5, 9, 15, 45
- Factors of 90: 1, 2, 3, 5, 6, 9, 10, 15, 30, 45, 90
Finding Common Factors
Next, we compare the lists of factors from above to find out which factors are common to all three numbers.
- 1
- 3
- 5
- 15
Conclusion
Therefore, the common factors of 15, 45, and 90 are 1, 3, 5, and 15. These are the numbers that divide each of the three numbers without leaving a remainder.
Understanding these common factors can be useful in various mathematical applications, including simplifying fractions, finding greatest common divisors, and more.