Factors of 21

Factors of 21 are the whole numbers 1, 3, 7, and 21 itself. These values are multiplied together in a defined pair resulting in 21 and are termed as factors of 21. A number’s factor evenly divides the original number. For example, 21 is exactly divided by 1, 3, 7 and 21. So, by this formation, we will get all the factors of 21 that are 1, 3, 7, and 21.

In this article, we will learn factors of 21 in detail along with the method to find the factors of 21

Factor pairs for the number 21 are the numbers that completely divide the number 21 without leaving any remainder. The factors of 21 are 1, 3, 7 and 21. Among these, 1 is the smallest factor of 21 and 21 itself is the largest factor of 21. These are the numbers which can exactly divide the number 21.

Try out the following calculator to find the factors of 21

Learn, Factors of a Number

To find the factors of 30, you have to follow the methods that are given below:

Factors of 21 by Multiplication Method

To find the factors using multiplication we have to find pairs of number whose product is 21. The pairs of such number is mentioned below:

• 1 × 21 = 21
• 3 × 7 = 21

Hence, the factors of 21 are 1, 3, 7 and 21

Factors of 21 by Division Method

To find the factors of 21 by using the division method, you have to start with the number 21 and divide it by the smallest prime number 3. So, Let’s see the pairing of numbers and get the number 21.

• 21 ÷ 1 = 21
• 21 ÷ 3 = 7
• 21 ÷ 7 = 3

Hence, the factors of 21 are 1, 3, 7 and 21

All Factors of 21

The enlist of all factors of 21 are :

Factors of 21 are 1, 3, 7, and 21.

Prime factorization is the technique of expressing the given number 21, as a product of the factors of 21. Consequently, the prime factorization of 21 is based on the circumstance in which the number 21 can be written as the product of 3, 7, and 21.

Therefore, the prime factorization of 21 is;

21 = 1 × 3 × 7

So, the prime factors of 21 are 1, 3, 7, and 21.

Learn, Prime Factorization

Prime Factors of 21

Prime Factors of 21 are the prime numbers which divide the 21 exactly. Based on the above prime factorization the prime factors of 21 are 3 and 7.

A factor tree is a representation of the prime factorization of a given number. Here the number given is 21, and that will be expanded in the following steps;

• Begins with the number 21.
• After that, the prime factorization of 21 is 3 × 7.
• At last, the breakdown will remain at 3 and 7 because both of them are prime numbers.

Multiplying the two integers gives the original number, 21, which can be used to calculate the pair factors of 21. So, the pairs of positive and negative integers can be written as follows:

Positive Factor Pair of 21

So, the positive factor pairs of 21 are given below;

• 1 × 21 = 21
• 3 × 7 = 21
• 7 × 3 = 21
• 21 × 1 = 21

Negative Factor Pair of 21

So, the negative factor pairs of 21 are given below;

• -1 × -21 = 21
• -3 × -7 = 21
• -7 × -3 = 21
• -21 × -1 = 21

Also, Check

• Greatest Common Divisor
• Factors of 12
• Factors of 36

Example 1: What is the product of all the factors of 21?

Solution:

The product of all the factors of 21 will be found by multiplying all the factors together.

1 × 3 × 7 × 21 = 441

Therefore, the product of factors of 21 is 441.

Example 2: What are the common factors of 14 and 21?

Solution:

Let’s find out the common factors of given numbers 14 and 21.

Factors of 14 = 1, 2, 7, and 14.

Factors of 21 = 1, 3, 7, and 21.

So, the common factors of 14 and 21 are 1 and 7.

Example 3: Find the common factors of 42 and 21.

Solution:

Let’s find out the common factors of given numbers 42 and 21.

Factors of 42 = 1, 2, 3, 6, 7, 14, 21, and 42.

Factors of 21 = 1, 3, 7, and 21.

So, the common factors of 42 and 21 are 1,3,7 and 21.

Example 4: Express 21 as a product of two factors other than 1 and 21.

Solution:

21 as a product of two factors other than 1 and 21 in multiple ways:

As, 21 = 3 × 7

So, 3 and 7 are factor of 21.

Q1: What is the sum of the factors of 21?

Q2: Find the negative pair factors of 21.

Q3: What is the greatest common factor (GCF) of 16 and 24?

Q4: Is 3 a factor of 21?

What is the greatest common factor (GCF) of 21 and 35?

The greatest common factor (GCF) of 21 and 35 is 7.

Does 21 has a 4 factors?

Yes, 21 has a 4 factors 1, 3, 7, and 21.

What is Factor Tree of 21?

The factor tree of 21 is representation of factors of 21 in branches form. The factor tree of 21 is shown above in the article

Is 21 a Prime Number?

No, 21 isn’t a prime number

What are the Common Factors of 14 and 21?

The common factors of 14 and 21 are 1 and 7.

Write down all the Factors of 21 between 1 and 40.

The factors of 21 between 1 and 40 are 1, 3, 7, and 21.

Are 21 and 28 Coprime?

No, 21 and 28 are not coprime because they have common factor 7.

What is the Sum of Factors of 21?

The sum of factors of 21 is 32. It is given as 1 + 3 + 7 + 21 = 32