Factor of 36

The factors of 36 and the prime factors of 36 have been mentioned here, along with a detailed explanation. This topic will help students to learn how to factor 36 easily and understand the concept of factors of a number with this example.

How to Factor 36?

To calculate the factors of 36, follow the given steps:

  • Step 1: Write 36
  • Step 2: 36 is the square of 6 and so write 36 as 6 × 6
  • Step 3: Factor 6 as 2 and 3
  • Step 4: Write 36 = 2 × 3 × 2 × 3
  • Step 5: Now multiply all the multiples to get all the factors of 36

Factors of 36

From the above steps, the factors of 36 are obtained. It should be noted that 1 and 36 itself are also factors. Also, the negative multiples of each are also considered as factors.

All Factors of 36
Positive Factors of 36 1, 2, 3, 4, 6, 9, 12, 18, and 36
Negative Factors of 36 – 1, – 2, – 3, – 4, – 6, – 9, – 12, – 18, and – 36

Factor Pairs of 36

The factor pairs of 36 include the following:

1 × 36 = 36

2 × 18 = 36

3 × 12 = 36

4 × 9 = 36

6 × 6 = 36

Hence, the factor pairs of 36 are (1, 36), (2, 18), (3, 12), (4, 9) and (6, 6).

Prime Factors of 36

The prime factors of 36 are the prime numbers from the list of factors for the number 36. The prime factors of 36 can also be obtained by another method which is explained below.

  • Prime Factors of 36 = 22 × 32

How To Calculate Prime Factors of 36?

To calculate the prime factors of 36, 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 and continue this process till the end product is 1. This is called prime factorization of a number and a step by step format for 36 is given below.

    • Step 1: Divide 36 with 2

36 ÷ 2 = 18

    • Step 2: Again divide 18 with 2

18 ÷ 2 = 9

    • Step 3: Since 9 is no more divisible by 2, move to the next prime number i.e. 3

9 ÷ 3 = 3

    • Step 4: Finally, divide 3 with 3 to get 1.

3 ÷ 3 = 1

From the above steps, it can be said that the prime factor of 36 will be 2 × 2 × 3 × 3 i.e. 22 × 32. It should be noted that the above-mentioned method will not only work for 36 but also for all the large numbers.

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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