**Prime Factors of 36 are 2, 3**.

Here we will discuss, mainly two methods of factorization to find Prime Factors of any number.

- Division Method
- Factor Tree Method

Table of Contents

### Prime Factors of 36 by Division Method

**Step 1 :** Divide the number by the smallest prime number, which divides the number exactly.**Step 2 :** Divide the quotient again by the smallest prime number. If quotient is not exactly divisible by the

smallest prime number, choose next smallest prime number.**Step 3 :** Repeat Step 2 again and again till the quotient becomes 1.**Step 4 :** All the prime numbers used in above process are the prime factors.

Check : Multiply all the prime factors, the multiplication should be the number itself.

Caution : In this method, only prime numbers will be use to divide.

- First of all, we divide 36 by smallest prime number i.e. 2. , we got 18 as quotient and remainder is zero. (Note – if remainder will not zero, means doesn’t divide exactly, try next prime number to divide)
- Again we divide 18 be smallest prime number i.e. 2. , we got 9 as quotient and remainder is zero.
- Again we divide 9 be smallest prime number i.e. 2. , we didn’t get a whole number as quotient. So try next prime number i.e. 3. This time we get 3 as quotient and remainder is zero.
- Since 3 is a prime number, so 3 will divide by itself only.
- Here we divide 3 by 3 and we got 1 as a quotient.

Hence, 36 = 2^{2} x 3^{2}

So **36 has two prime factor i.e. 2, 3.**

I hope, this step-by-step tutorial will be helpful to understand the Prime Factors of 36.

## FAQ

### What are the prime factors of the number 36?

The prime factors of the number 36 are 2 & 3.

### What is the total number of prime factors of the number 36?

The total number of prime factors of the number 36 is 2.

### What is the prime factorization of the number 36?

The prime factorization of the number 36 are 2 & 3.

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