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122 Learners

Last updated on ** September 27th, 2024**

Factors are those numbers whose dividend is divisible by quotient completely. The factors of 36 are whole numbers.

Factors of 36 will divide 36 completely. These are multiplied in pairs to get 36 as the product.

1, 2, 3, 4, 6, 9, 12, 18 and 36 the factors of 36.

**Negative Factors: **These are negative counterparts of the positive factors.

Negative factors: -1, -2, -3, -4, -6, -9, -12, -18 and -36

**Prime Factors: **Prime factors are the prime numbers when multiplied together, giving 36 as the product.

Prime factors: 2 and 3

**Prime Factorization: **Prime factorization involves breaking 36 into its prime factors.

It is expressed as 2^{2 } × 3^{2 }

**sum of the factors of 36 :**The sum refers to the number we get by adding the factors of the given number.

Sum = 1+2 + 3 + 4 + 6 + 9 + 12 + 18 + 36 = 91

Table listing the factors of 36:

There are different methods to find the factors of 36.

Methods to find the factors of 36:

- Multiplication Method

- Division Method

- Prime Factor and Prime Factorization

- Factor Tree

The multiplication method involves finding pairs of numbers that give 36 as the product. Steps are given below:

**Step 1: **Find the pair of numbers whose product is 36.

**Step 2: **The factors are those numbers, when multiplied, give 36.

**Step 3:** Make a list of numbers whose product will be 36

A list of numbers whose products are 36 is given below:

- 1 × 36 = 36

- 2 × 18 = 36

- 3 × 12 = 36

- 4 × 9 = 36

- 6 × 6 = 36

The division method finds the numbers that fully divide the given number. Step-by-step process given below:

**Step 1:** Since every number is divisible by 1, both 1 and the number will always be its factors. Example: 36÷1 = 36

**Step 2: **Move to the next integer. Both divisor and quotient are the factors. Example: 36÷2 = 18, 36÷3 = 12 and so on. Here, 2 is the divisor and 18 is the quotient.

Overview of factors of 36 using division method

Multiplying prime numbers to get the given number as their product is called prime factors. Prime factorization is the process of breaking down the number into its prime factors.

**Prime Factors of 36: **Number 36 has only two prime factors.

Prime factors of 36: 2, 3

Steps to find the prime factors of 36:

**Step 1:** Divide 36 with the smallest prime number 2

36÷2 = 18

18÷2 = 9

**Step 2:** Take the next prime number, which is 3

9÷3 = 3

3÷3 = 1

**Prime Factorization of 36:** Prime Factorization breaks down the prime factors of 36.

Expressed as 2^{2 }× 3^{2}

The prime factorization is visually represented using the factor tree. It helps to understand the process easily.

**Factor Pairs:** Factors of 36 can be written in both positive pairs and negative pairs.

Positive Factor Pairs: (1, 36), (2, 18), (3,12), (4, 9), (6,6)

Negative Factor Pairs: (-1, -36), (-2, -18), (-3, -12), (-4, -9), (-6, -6)

Factor pairs are like team members. Their product will be equal to the number given.

**Factors:**Factors are the numbers that divide the given number without any remainder.

**prime factorization:**The prime factorization of numbers involves breaking the number into its prime factors.

**Prime factors:**Prime factors

**Composite numbers:**Composite numbers are numbers having more than two factors.