Math Problem Statement
Different multiples can share the same factors.
You call these factors 'common factors'.
The multiples 9 and 36 both appear in the 3 times table.
Therefore, 3 is a common factor of 9 and 36.
Which of the following are common factors of 8 and 32?
4
7
8
2
Solution
To find the common factors of 8 and 32, we need to determine which numbers divide both 8 and 32 exactly.
Factors of 8:
The factors of 8 are:
1, 2, 4, 8
Factors of 32:
The factors of 32 are:
1, 2, 4, 8, 16, 32
Common factors of 8 and 32:
The common factors are the numbers that appear in both lists:
1, 2, 4, 8
Now, let’s check the provided options:
- 4: Yes, 4 is a common factor.
- 7: No, 7 is not a factor of either 8 or 32.
- 8: Yes, 8 is a common factor.
- 2: Yes, 2 is a common factor.
Conclusion:
The common factors of 8 and 32 from the given options are 4, 8, and 2.
Would you like more details or have any further questions?
Here are 5 related questions to explore further:
- What are the common factors of 12 and 36?
- How do you find the greatest common factor (GCF) of two numbers?
- What are the multiples of 32 and 64?
- Can a number have more than one common factor with another number?
- How do prime numbers affect the list of factors?
Tip: A quick way to find common factors is to list out the factors of each number and compare them!
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Math Problem Analysis
Mathematical Concepts
Factors
Common Factors
Division
Formulas
A number is a factor of another if it divides it exactly with no remainder.
Theorems
Common Factor Theorem: If a number divides two other numbers exactly, it is a common factor.
Suitable Grade Level
Grades 4-6