The factors of 10 are the numbers that divide the original uniformly. Factor pairs of the number 10 are the whole numbers, which produces the actual number when multiplied. For example, when we multiply 2 and 3, we get 6, i.e. 2 × 3 = 6. Here, 2 and 3 are the factors of 6. Similarly, we can find the factors of the given number, i.e. 10. However, we can also use the factorization method to get the factors of a number.
Factors of 10: 1, 2, 5 and 10
In the factorization method, first, consider the numbers 1 and 10 as factors of 10 and continue with finding the other pair of multiples of 10, which gives the results as an original number. To understand this method, read the article below to find the factors of 10 in pairs. Also, get the prime factors of 10 with the help of the division method.
How to Find the Factors of 10?
Go through the following steps to find factors of 10.
Step 1: First, write the number 10
Step 2: Find the two numbers, which results in 10 under the multiplication, say 2 and 5, such that 2 × 5 = 10.
Step 3: We know that 2 and 5 are prime numbers with only two factors, i.e., one and the number itself.
The factors of 2 = 2 × 1
The factors of 5 = 5 x 1
So, we cannot further factorize them.
Step 4: Therefore, the factorization of 10 can be expressed as 10 = 2 × 5 × 1
Step 5: Finally, write down all the unique numbers which we can obtain from the above process.
| Factors of 10 |
| 1, 2, 5, and 10 |
Pair Factors of 10
To find the pair factors of 10, multiply the two numbers to get the original number as 10. We can write both positive and negative integers in pairs as shown below:
| Positive pairs | Negative pairs |
| 1 × 10 = 10; (1, 10) | (-1) × (-10) = 10; (-1, -10) |
| 2 × 5 = 10; (2, 5) | (-2) × (-5) = 10; (-2, -5) |
| 5 × 2 = 10; (5, 2) | (-5) × (-2) = 10; (-5, -2) |
| 10 × 1 = 10; (10, 1) | (-10) × (-1) = 10; (-10, -1) |
Therefore, the positive pair factors of 10 are (1, 10), (2, 5), (5, 2) and (10, 1).
The negative pair factors of 10 are (-1, -10), (-2, -5), (-5, -2) and (-10, -1).
Prime Factors of 10
As we know, 10 is a composite number, and it has prime factors. Now let us find the prime factors of 10.
- The first step is to divide the number 10 with the smallest prime number, i.e. 2.
10 ÷ 2 = 5
Now, divide 5 by 2.
5 ÷ 2 = 2.5
Factors should be whole numbers, so 2 cannot be the factor of 5. Hence, proceed with the next prime numbers, i.e. 3, 5
5 ÷ 3 = 1.6667
5 ÷ 5 = 1
- We have received number 1 at the end of the division process; thus, we cannot proceed further.
So, the prime factors of 10 are 2 and 5, where 2 and 5 are the prime numbers.
Prime factorisation of 10 is 2 × 5.
Some of the important facts about the factors of 10 are listed below:
- The number of factors of 10 is 4.
- The sum of all factors of 10 is equal to 18.
- The product of all factors of 10 is equal to square of 10 or 10 times of 10.
Video Lesson on Prime Factors
Get Factors of More Numbers Here
| Factors of 12 | Factors of 15 | Factors of 16 |
| Factors of 17 | Factors of 18 | Factors of 20 |
| Factors of 21 | Factors of 23 | Factors of 24 |
| Factors of 25 | Factors of 27 | Factors of 28 |
Learn more about factors and prime factors of other numbers by downloading BYJU’S – The Learning App for a better experience and clarification.
Frequently Asked Questions on Factors of 10 – FAQs
Q1
What are all the multiples of 10?
The multiples of 10 include: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, etc.,
Q2
What are the prime factors of 10?
The prime factors of 10 are 2 and 5.
Q3
What are factors of a number?
Factors are the numbers when multiplied together to get another number. A number can have two or more factors.
Q4
What are all factors of 12?
All the factors of 12 are 1, 2, 3, 4, 6, and 12.
Q5
What are factors of 100?
The factors of 100 include 1, 2, 4, 5, 10, 20, 25, 50, and 100.
Q6
How many factors do 10 and 100 have?
The number 10 has 4 factors, such as 1, 2, 5 and 10.
The number 100 has 9 factors, such as 1, 2, 4, 5, 10, 20, 25, 50, and 100.
FAQs
So, the prime factors of 10 are 2 and 5, where 2 and 5 are the prime numbers.
What are the prime factors of 10 by division method? ›
So, the prime factors of 10 are 2 and 5, where 2 and 5 are the prime numbers.
What are the factors of 10 that are prime? ›
The Prime Factors of 10 are 1, 2, 5, 10 and its Factors in Pairs are (1, 10) and (2, 5).
How do you find prime factorization using division method? ›
Division Method
Step 1: Divide the given number by the smallest prime number. In this case, the smallest prime number should divide the number exactly. Step 2: Again, divide the quotient by the smallest prime number. Step 3: Repeat the process, until the quotient becomes 1.
What are the divisible factors of 10? ›
The factors of 10 are the numbers that divide the original number uniformly. Factor pairs of the number 10 are the whole numbers, which when multiplied together produces the original given number. Factors of 10 are 1, 2, 5, and 10.
What are the prime factors of 420 by division method? ›
There are 24 factors of 420 in all. 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20 ,21, 28, 30 , 35, 42, 60, 70, 84, 105, 140, 210 and 420 are the factors that divide 420 evenly without any remainder. The prime factors of 420 are 2, 3, 5 and 7.
How to find the factors of 10? ›
The factors of 10 are 1, 2, 5 and 10.
How do I find prime factors? ›
Prime Factorization by Division Method
- Step 1: Divide the number by the smallest prime number such that the smallest prime number should divide the number completely. ...
- Step 2: Again, divide the quotient of step 1 by the smallest prime number. ...
- Step 3: Repeat step 2, until the quotient becomes 1.
The prime numbers from 1 to 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97. Why is 1 not a prime number?
What is an example of factorization by division method? ›
The first step is to split the polynomials into its direct factors in the factorization by simple division method. For example if we divide, 8z³ + 7z² +6z by 2, we will split the given equation in its basic factors i.e.2x(4z)² + 2x(7/2 × z) + 2z(3).
In the prime factorization method, given numbers are written as the product of prime factors. While in the division method, given numbers are divided by the least common factor and continue still remainder is zero. Note: Prime numbers are numbers which have only two factors i.e. one and the number itself.
What is the division rule for 10? ›
The Rule for 10
In order to apply the divisibility rule for 10, the digit that is last in a number has to be 0. This works whether the number is 70, 700, or 7,000. The rule also works if the numbers do not have 0 as a middle digit such as 210, 340, and 620. All of them are divisible by 10.
What is an example of divisibility by 10? ›
Divisibility Rule of 10
Divisibility rule for 10 states that any number whose last digit is 0, is divisible by 10. Example: 10, 20, 30, 1000, 5000, 60000, etc.
What is the prime factorization of 10000 by division method? ›
To find the square root of 10000 using this method, first factorize 10000 into its prime factors: 10000=(2×2)×(2×2)×(5×5)×(5×5). Now, take the square root of this product of prime factors: √10000=√(2×2)×(2×2)×(5×5)×(5×5)=2×2×5×5=100.
What is the prime factor tree of 10? ›
Circling all the branches gives us factors 2, and 5. Therefore, the prime factors of 10 using a factor tree are 2 X 5 = 10.
What is the prime factor by the division method 12? ›
To find the prime factors, first we will divide the number 12 by its smallest prime factor, that is, 2. Now, divide by the next prime number, that is, 3. So, the prime factorization of 12 = 2 × 2 × 3 or \( 2^2\) × 3. This means that 2 and 3 are the prime numbers of 12.
What is the total number of factors of a prime number Class 10? ›
Prime numbers are numbers that have only 2 factors: 1 and themselves. For example, the first 5 prime numbers are 2, 3, 5, 7, and 11. By contrast, numbers with more than 2 factors are call composite numbers.
