Factors of 10

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.

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:

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

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