**Factors of 20 are 1, 2, 4, 5, 10, 20**.

Here is complete detailed methods to find the factors of 20.

Actually, Factor is a number which divides any number completely without leaving remainder.

Or simply we can say that if we multiply two whole numbers (positive & negative) and it gives a product. Then the numbers that we multiply, are the factors of the product.

For example, if we multiply 4 to 5, it gives 20. Here 4 and 5 are called positive factors of 20 and if we multiply -2 to -10, it gives 20. So -2 and – are called negative factor of 20.

Table of Contents

## How to Find The Factors of 20 ?

Since factors of 20 are the numbers, which divides 20 completely without leaving remainder. So here we are going to divide 20 by all numbers up to 20. Let’s see the process –

We have to stop the process, if any number of column ‘B’ appears in column ‘A’ or when any element comes in both columns at same level and this element will consider as a factor.

Here we stop the division when 5 appears in column ‘A’, which has already been came in column ‘B’.

Hence, all the factor of 20 in above table are : 1, 2, 4, 5, 10, 20

Similarly, negative factor of 20 are : -1, -2, -4, -5, -10, -20

## What Are The Factors of 20 in Pairs ?

As we saw in above table, 2 multiply by 10 gives 20. So (2, 10) is a factor pair of 20. Let us see how many factor pairs can be achieved –

### Positive Factors of 20

1 x 20 = 20

2 x 10 = 20

4 x 5 = 20

5 x 4 = 20

10 x 2 = 20

20 x 1 = 20

### Negative Factors of 20

Similarly, negative factor pairs of 20 can be written as follows –

-1 x -20 = 20

-2 x -10 = 20

-4 x -5 = 20

-5 x -4 = 20

-10 x -2 = 20

-20 x -1 = 20

Hence, 20 has 6 factor pairs.

## What Are the Prime Factors of 20 ?

Since 20 is itself a prime number, hence it has only one prime factor i.e. 20. Here we will discuss, mainly two methods of factorization to find Prime Factors of any number.

- Division Method
- Factor Tree Method

### Prime Factors of 20 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.

**Steps to calculate prime factors of 20**

- First, divide 20 by least prime number i.e. 2. We got 9 as a quotient.
- Divide 9 by least prime number i.e. 2. We didn’t get a whole number as a quotient. So try next prime number.
- Divide 9 by next prime number i.e. 3. We got 3 as a quotient.
- Divide 3 by prime number i.e. 3. We got 1 as quotient.

Here 20 = 2 x 2 x 5 = 2^{2} x 5

### Factor Tree of 20

**Step 1 :** Write a number as root of the tree**Step 2 :** Find the factors of the number, each factor will be considered as root again (now, we got 2 new root)**Step 3 :** Repeat step 2 until we can’t factor any more (or until we got prime factor)**Step 4 :** The end nodes are the prime factors.

We can initiate the tree by choosing any two factors. Here we choose 2 and 10 as initial factors of 20. Further, 10 will split in 2 and 5.

We got the same unique nodes in every tree.

The Factor Tree may be made so many types depends upon choosing the initial and middle factors.

## Number of Factors of 20

The **Number of Factors of 20 is 6.** To find the number of factors, we use Division Method.

In our example, as we saw above 20 = 2^{ 2} x 5

**Number of factors is = (power + 1)(power + 1)(power + 1)………. **

Hence number of **factors of 20** is = (1 + 2)(1 + 1) = 3 x 2 = 6

and if we consider both positive and negative factors, then

total no. of factors = 6 (positive) + 6 (negative) = 12

I hope, this step-by-step tutorial will be helpful to understand factorization method of 20.

## FAQ

### What are the factors or divisors of the number 20?

The factors or divisors of the number 20 are 1, 2, 4, 5, 10, 20.

### What are the prime factors of the number 20?

The prime factors of the number 20 are 2 and 5.

### What is the total number of factors of the number 20?

The total number of factors of the number 20 is 6.

### What is the total number of prime factors of the number 20?

The total number of prime factors of the number 20 is 2.

### What is the sum of all factors of the number 20 including 20?

The sum of all the factors of the number 20 including 20 is 44 (i.e 1 + 2 + 4 + 5 + 10 +20 = 44)

### What is the sum of all factors of the number 20 excluding 20?

The sum of all the factors of the number 20 excluding 20 is 24 (i.e 1 + 2 + 4 + 5 + 10 = 24)

### What are the factor combinations of the number 20?

The factor combinations of the number 20 are (1, 20) , (2, 10) , (4, 5) , (5, 4), (10, 2) & (20, 1).

### What is the prime factorization of the number 20?

The prime factorization of the number 20 are 2 and 5.

### What is the product of all factors of the number 20?

The product of all factors of number 20 is 400 (i.e. 1 x 2 x 4 x 5 x 10 x 20 = 400)

### What is the product of all prime factors of the number 20?

The product of all prime factors of number 20 is 10.

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