Factors of 5
5 are our senses, 5 is the number of our toes and fingers. It is a number closely associated to humans. Mathematically, the number 5 is an odd and prime number.
- Factors of 5: 1, 5
- Prime Factorization of 5: 5
1. | What Are the Factors of 5? |
2. | How to Calculate the Factors of 5? |
3. | Factors of 5 by Prime Factorization |
4. | Factors of 5 in Pairs |
5. | FAQs on Factors of 5 |
What Are the Factors of 5?
Factors of 5 are numbers which on dividing 5 leave no remainder. Since 5 is a prime number, it has only two factors. Factors of 5 are 1 and 5.
How to Calculate the Factors of 5?
There are two common methods to find the factors of 5.
1. Division method
2. Prime factorization method
Let us calculate the factors of 5 using the division method.
Divide | Result | |
---|---|---|
1 |
5 ÷ 1 |
Gives remainder 0. So, 1 is a factor. |
2 | 5 ÷ 5 |
Gives remainder 0. So, 5 is a factor. |
Factors of 5 by Prime Factorization
Prime factorization is expressing the number as the product of its prime factors.
Since 5 is a prime number, prime factorization could not be done for this number.
Thus, the prime factor of 5 is 5 alone.
Factors of 5 in Pairs
Positive factors of 5 : 1 and 5.
Negative factors of 5 : -1 and -5.
Explore factors using illustrations and interactive examples
- Factors of 6: The factors of 6 are 1, 2, 3, and 6.
- Factors of 15: The factors of 15 are 1, 3, 5, and 15.
- Factors of 4: The factors of 4 are 1, 2, and 4.
- Factors of 24: The factors of 24 are 1, 2, 3, 4, 6, 8, 12 ,and 24.
- Factors of 10: The factors of 10 are 1, 2, 5, and 10.
Important Notes:
- Only composite numbers can have more than two factors.
- Every factor of a given number is either less than or equal to the given number.
- The number of factors of a given number is finite.
Factors of 5 Solved Examples
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Example 1: Alexandra is finding the factors of a few numbers. She wants to find the common factors of 5 and 25. Can you help her find them?
Solution: We know the factors of 5 are 1 and 5.
The factors of 25 = 1, 5, and 25.
Thus the common factors of 5 and 25 = 1 and 5.
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Example 2: Can you help Parker calculate the sum of all the factors of 5?
Solution:
We know the factors of 5 are 1 and 5.
The sum of all the factors of 5 = 1 + 5 = 6.
FAQs on Factors of 5
What are the factor pairs of 5?
The factors of 5 that come in pairs are the factor pairs of 5. They could be positive or negative.
Positive factors of 5 : 1 and 5.
Negative factors of 5 : -1 and -5.
What are the factors of 5?
5 is a prime number. Therefore, it can have only two factors, i.e., 1 and the number itself.
The factors of 5 are 1 and 5.
What is the factor tree of 5?
- A factor tree is a pictorial representation to determine the prime factors of any number.
- We can make a factor tree of 5, with 5 and 1 (factors) as its branches.
What are the common factors of 5 and 15?
The factors of 5 are 1 and 5.
The factors of 15 are 1, 3, 5, and 15. The common factors of 5 and 15 are 1 and 5.
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