Common factor of 25 and 75
Understand the Problem
The question is asking to find the common factors of the numbers 25 and 75. A common factor is a number that divides both numbers without leaving a remainder, so we will identify the factors of both numbers and determine which factors they share.
Answer
The common factors of 25 and 75 are $1, 5, 25$.
Answer for screen readers
The common factors of 25 and 75 are: $1, 5, 25$.
Steps to Solve
- Identify Factors of Each Number
First, we need to find the factors of 25. The factors of a number are all the integers that divide that number without leaving a remainder.
The factors of 25 are:
- 1
- 5
- 25
Now, let's find the factors of 75.
The factors of 75 are:
- 1
- 3
- 5
- 15
- 25
- 75
- Compare Factors for Commonalities
Next, we will compare the two lists of factors we have found to determine which numbers appear in both lists.
Factors of 25: {1, 5, 25}
Factors of 75: {1, 3, 5, 15, 25, 75}
- List the Common Factors
The common factors are those numbers that are present in both lists of factors.
By comparing the two sets:
- Common factors are: {1, 5, 25}
The common factors of 25 and 75 are: $1, 5, 25$.
More Information
Common factors help in simplifying fractions or dividing items into equal parts. In this case, both 25 and 75 can be evenly divided by 1, 5, and 25, making these numbers significant when working with these two integers.
Tips
One common mistake is forgetting to list all factors accurately. It’s important to divide the numbers systematically or check against basic multiplication facts to ensure no factors are missed.
AI-generated content may contain errors. Please verify critical information
