Factors of 5 | With Prime Factorization | Easy Guide
Contents
As we know, the number 5 is an odd and prime number. When we need to know the factors of 5 we mean to know the possible multiplying factors that give us the result, 5 as a product.
Since 1 is the primary factor of all the numbers and the number itself is a factor, we can find the other factors of 5 in a simple process.
Factors of 5
There are two factors of 5. The first one is 1, and the second one is 5.
What Are the Factors of 5?
Factors of 5 are numbers that divide 5 without leaving any remainder. Because 5 is a prime number, it will have only two factors. It has a factor of 1 and a factor of 5.
How to Calculate the Factors of 5?
We can find the factors of 5 by using two common methods.
- Division Method
- Prime Factorization Method
Factors of 5 by Division Method
When we divide the value by any number and as a result, if there is no remainder after division, it means “that number” is a factor of that value. Keeping the same method, let’s check factors of 5 by the division method.
Using the division method, let’s find the factors of 5.
| Divide | Result | |
| 1 | 5 ÷ 1 Five divided by One | The remainder becomes 0. So, 1 is a factor of 5. |
| 2 | 5 ÷ 5 Five divided by Five | The remainder becomes 0. So, 5 is a factor. |
Factors of 5 by Prime Factorization
By prime factorization, we show the relationship of the product of two prime factors.
The prime factorization of 5 is impossible since it is a prime number.
Therefore, 5 is the prime factor of 5.
Factors of 5 in Pairs
We have positive factors of 5
1 and 5
As we know, 1 x 5 = 5
So the pair ( 1 x 5 ) is a positive pair of factors of 5.
We have negative factors of 5
–1 and -5
As we know, -1 x -5 = 5
So the pair ( -1 x -5 ) is a positive pair of factors of 5.
We know that when we multiply two negative numbers, the product is positive as a result.
Let’s explore factors of some numbers using division and prime factorization.
Factors of 6
1, 2, 3, and 6 are the factors of 6.
Factors of 15
1, 3, 5, and 15 are the factors of 15.
1 and 17.
1, 2, 3, 4, 6, 8, 12, and 24 are the factors of 24
1, 2, 5, and 10 are the factors of 10.
Interesting things to know:
- As we know, composite numbers are the only numbers that contain more than two factors.
- Factors of a number will be smaller or equal to the number (the number which we are finding factors for).
- It is a thumb rule that the number of factors of a given number will always be finite.
Factors of 5 Solved Examples
Example 1: David is finding the factors of some numbers. He wants to find the common factors of 5 and 25. Can you help him find the factors?
Solution:
As we know,
Factors 5 are 1 and 5.
The factors of 25 are 1, 5, and 25.
Thus, for the common factors of 5 and 25, we have 1 and 5.
Example 2: Can you help David get the sum of all the factors of 5?
Solution:
We know that factors 5 are 1 and 5.
The total (sum) of all the factors of 5 is 1 + 5 = 6.
Math is a mental game. It’s more than a theoretical study. It is a practical exercise that sparks your mind, makes it process fast and helps you solve your daily life problems. Ectipakistan is a step ahead in building a mathematical empire.
FAQs
What are the factor pairs of 5?
The factors of 5 that come in pairs are called factor pairs of 5. These factors can be positive or negative.
Positive factors of 5: 1 and 5.
Negative factors of 5: -1 and -5.
What are the factors of 5?
As we know, 5 is a prime number. Because 5 is divisible by 1 and itself (5). In this case, there can only be two factors – the number itself and 1.
So, we have 1, and 5 are the factors of 5.
What is the factor tree of 5?
A factor tree is a pictorial representation of the prime factors of a number.
Since we have factors of 5 are 1 and 5, we can create a factor tree of 5.
The factor tree consists of a set of divisible which can divide into 5 with getting zero reminders.
What are the common factors of 5 and 15?
The factor of 5 has two numbers, the first one being 5 and the second one being 1.
The factor of 15 has three numbers, the first one is 1, the second one is 3, the third one is 5, and the fourth one is itself 15. We have 1 and 5 are the common factors of 5 and 15.