Factors of 12

The factors of 12 and the prime factors of 12 can be seen here along with a proper explanation. This article will help you to learn how to factor 12 quickly and also to understand the concept of factors of a number easily with the given examples.

List of Factors of 12

12 is a composite number.

Note: 1 and 12 itself is also factors. The negative multiples of each are considered as factors too.

Positive Factors of 12 Negative Factors of 12
1 -1
2 -2
3 -3
4 -4
6 -6
12 -12

Factor Pairs of 12

The factor pairs of 12 include the following:

  1. 1 × 12 = 12
  2. 2 × 6 = 12
  3. 3 × 4 = 12
  4. 4 × 3 = 12
  5. 6 × 2 = 12

How to Factor 12?

To calculate the factors of 12, follow the given steps:

  • Step 1: Write 12
  • Step 2: 12 is a multiple of 6 and so write 12 as 6 × 2
  • Step 3: Factor 6 as 2 and 3
  • Step 4: Write 12 = 2 × 3 × 2
  • Step 5: Now multiply all the multiples to get all the factors of 12

Prime Factors of 12

The prime factors of 12 are the prime numbers from the list of factors for the number 12. The prime factors of 12 can also be obtained by another method which is explained below. Here are all the prime factors of 12:

  • Prime Factors of 12 = 2 X 2 X 3

Find the Factors of 12?

To calculate the prime factors of 12, divide it with the least prime number which is 2. When it cannot be divided further with two, divide it with the next prime number which is 3 in this case till the end product is 1. This is called prime factorization of a number and a step by step format for 12 is given below.

  • Step 1: Divide 12 with 2
  • 12 ÷ 2 = 6
  • Step 2: Again divide 6 with 2
  • 6 ÷ 2 = 3
  • Step 3: Since 3 is no more divisible by 2, move to the next prime number i.e. 3
  • 3 ÷ 3 = 1, We get 1

From the above steps, it can be said that the prime factor of 12 will be 2 × 2 × 3 i.e. 22 X 3. It should be noted that the above-mentioned method will not only work for 12 but even for all the large numbers like Prime Factors for 36 etc also.

Stay tuned with BYJU’S to get more such factors of different numbers. Also, get additional maths materials like syllabus, notes, NCERT solutions, question papers, etc. by registering at BYJU’S.

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