Factors of 20

Factors of 20 are 1, 2, 4, 5, 10 and 20. The factors of 20 are the numbers, which produce the result as 20 when a pair of factors are multiplied together. Simply put, the integers that completely divide 20 without leaving any remainder is the factor of 20. In this case, 1, 2, 4, 5, 10, and 20 are the integers that completely divide 20 without leaving any remainder.

In this article, we will learn about Factors, What are the factors of 20, List of all Factors of 20, prime factors of 20, how to find prime factors of 20, and Prime Factorization of 20 in detail.

Factors Definition

Factor is the number or algebraic expression that divides another number or expression evenly i.e., with no remainder.

In other words, Factors are the numbers that multiply together to result in a given number. For example, the factors of 20 are the numbers that perfectly divide 20 i.e., 1, 2, 4, 5, 10, and 20 itself.

Learn, Factors of a Number

What are Factors of 20?

The factors of 20 are the numbers that can be multiplied together to give the product 20.

Factors of 20 are 1, 2, 4, 5, 10 and 20

These numbers when multiply with each other gives 20:

• 1 × 20 = 20
• 2 × 10 = 20
• 4 × 5 = 20

So, Factors of 20 are: 1, 2, 4, 5, 10 and 12.

List of All Factors of 20

The list of all the factors of 20 are below:

• 1 is Factor of 20
• 2 is Factor of 20
• 4 is Factor of 20
• 5 is Factor of 20
• 10 is Factor of 20
• 20 is Factor of 20

How to Find Factors of 20?

To find factors of 20, you have look through all the natural numbers up to 20 that is divisible by 20 without leaving any remainder.

• Start with 1: Since 1 is multiplied by every number, therefore 1 is a factor of 20.
• Now Take Next Number 2: Since 2 is also completely divisible by 20, therefore it is also a factor of 20.
• Take 3: When 3 is divided by 20, it leaves the remainder 2 i.e., it is not completely divisible by 20. Therefore, 3 is not a factor of 20.
• Take 4: 4 divides 20 without leaving any remainder. So, 4 is also a factor of 20.
• Keep on repeating these steps further and once you reach a number that you’ve already listed as a factor, you can stop.

So, factors of 20 are: 1, 2, 4, 5, 10 and 20.

Prime Factors of 20

Prime Factors of 20 are the prime numbers that completely divide 20. The prime factors of 20 are:

• 2 (2 is a prime number and 20 is divisible by 2)
• 5 (5 is a prime number and 20 is divisible by 5)

Prime Factorization of 20

In the prime factorization method, the number 20 is written as the product of its prime factors. To find the prime factorization of 20, we begin with dividing it by the smallest prime number, which is 2, and continue dividing until further division is not possible, as follows:

Prime Factorization of 20

• Divide 20 by 2 i.e., 10
• Divide 10 by 2 i.e., 5
• Divide 5 by 5 i.e., 1

Factor Tree of 20

A factor tree is a diagram that breaks down a number into its prime factors. Here’s a factor tree for the number 20:

Factor Tree of 20

Factor Pairs of 20

Factor Pair of 20 are the numbers which when multiplied with each other gives 20 as a result. The pairs can both be positive and negative.

Positive Factor Pairs of 20

Positive factor pairs of 20 are:

• 1 × 20 = 20
• 2 × 10 = 20
• 4 × 5 = 20

Negative Factor Pairs of 20

Negative factor pairs of 20 are:

• (-1) × (-20) = 20
• (-2) × (-10) = 20
• (-4) × (-5) = 20

Examples on Factors of 20

1. What is Sum of all Factors of 20?

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

Sum of the factors of 20 = 1 + 2 + 4 + 5 + 10 + 20

Sum of the factors of 12 = 42

2. Find the Common Factors of 20 and 40.

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

Factors of 40 are 1, 2, 4, 5, 8, 10, 20 and 40.

Hence, the common factors of 20 and 40 are 1, 2, 4, 5, 10 and 20.

3. Find Two factors of 20 whose product is equal to 20.

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

Two factors of 20 whose product is equal to 20 are : 4 and 5 as 4 × 5 = 20.

4. Express 20 as the Product of its Prime Factors.

Prime factors of 20 are : 2² × 5.

Factors of 20 – Practice Questions

Q1. What is the product of all the factors of 20?

Q2. Find two factors of 20 whose product is equal to 10.

Q3. If d is a factor of both 20 and 10, what are the possible values of d?

Q4. Find two factors of 20 whose product is equal to 4.

Read More About Factor of,

• Factors of 36
• Factors of 12

Factors of 20 – Frequently Asked Questions

What are Factors of 20?

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

How many Factors does 20 has?

20 has a total of six factors: 1, 2, 4, 5, 10, and 20.

Is 20 a Factor or Multiple of 20?

20 is both a factor and a multiple of 20. As a factor, it divides 20 exactly, and as a multiple, it is the result of multiplying 20 by 1.

Is 5 a Factor of 20?

Yes, 5 is a factor of 20. If 5 divides 20, it leaves the remainder 0, and hence 5 is a factor of 20.

What is Factor Tree of 20?

Factor tree of 12 can be represented as follows:

20
/\
2 10
/\
2 5
/\
1 5

Is 6 a Factor of 20?

No, 6 is not a factor of 20 as when 20 is divided by 6 it leaves 2 as remainder