Factors of 20

Factors of 20 are the list of integers that can be evenly divided into 20. It has a total of 6 factors of which 20 is the biggest factor and the positive factors of 20 are 1, 2, 4, 5, 10, and 20. The sum of all factors of 20 is 42. Its Prime Factors are 1, 2, 4, 5, 10, 20 and (1, 20), (2, 10) and (4, 5) are Pair Factors.

• Factors of 20: 1, 2, 4, 5, 10 and 20
• Negative Factors of 20: -1, -2, -4, -5, -10 and -20
• Prime Factors of 20: 2, 5
• Prime Factorization of 20: 2 × 2 × 5 = 2² × 5
• Sum of Factors of 20: 42

What are Factors of 20?

A factor is a number that divides the number into equal parts. Factors of 20 are the numbers that divide 20 completely without leaving any remainder. 4 and 5 are the factors of 20, that is, 5 divides 20 into equal parts of 4 each.

20 does not have 4 and 5 as its only factors. It has other factors as well which we will show you in the next section.

How to Calculate the Factors of 20?

Follow the steps to calculate the factors of 20:

• Step 1: Write down the number to be factored, i.e., 20.
• Step 2: Find the numbers which can divide 20 exactly without leaving any remainder.
  • 20 ÷ 1 = 20 Remainder 0
  • 20 ÷ 2 = 10 Remainder 0
  • 20 ÷ 3 = 6 Remainder 2
• Step 3: Continue for rest of the numbers.

We see that 3 does not divide 20 completely and leaves a remainder. Therefore, 3 is not a factor. Continuing further, the numbers 1, 2, 4, 5, 10, and 20 leave no remainder. Hence, the factors of 20 are 1, 2, 4, 5, 10, and 20.

Important Notes:

1. Factors of a number are all the possible numbers it is divisible by.
2. They may be prime numbers or composite numbers.
3. Factors can never be fractions or decimals.
4. Factors can be negative integers.

Explore factors using illustrations and interactive examples

• Factors of 36 - The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36.
• Factors of 24 - The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24.
• Factors of 15 - The factors of 15 are 1, 3, 5, 15.
• Factors of 16 - The factors of 16 are 1, 2, 4, 8,16.
• Factors of 320 - The factors of 320 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320.
• Factors of 200 - The factors of 200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, and 200.

Factors of 20 by Prime Factorization

Prime factorization is the process of writing a number as the product of its prime factors. Factors of 20 by prime factorization are found using the following steps:

Write the pair of factors that on multiplication gives the required number. 20 can be factored as a product of 4 and 5. Check the factors to see if each one of them is prime or not.

• Step 1: 4 is not a prime number and can be factored further as a 2 × 2.
• Step 2: 5 is a prime number and it cannot be factored further.
• Step 3: Prime factorization of 20 can thereby be written as: 20 = 4 × 5 = 2 × 2 × 5
• Step 4: It can also be written in exponent form as 20 = 2² × 5

Challenging Questions:

Jenny has an apple tree. She plucks 20 apples from the tree. She has to distribute it among her 4 friends. How many apples will each friend get?

Factors of 20 in Pairs

The pair of numbers that give 20 as the result when multiplied is the pair factors of 20. Let's try visualizing it using blocks:

The pair factors of 20 are:

The above-given factors are positive pair factors. It is possible to have negative pair factors as well because the product of two negative numbers gives a positive number. Let's take a look at the negative pair factors of 20:

Tips and Tricks:

1. The smallest factor of every number is 1.
2. Every number has a minimum of 2 factors, i.e. 1 and the number itself.
3. All even numbers have 2 as one of their factors.
4. All numbers which end in 5 will have 5 as one of their factors.
5. All numbers which end in 0 will have 1, 2, 5, and 10 as their factors.