Prime Factorization Worksheet

Before understanding what prime factorization is, one should understand what prime numbers are. Numbers that have only 1 as their factor, apart from themselves, are known as prime numbers. 2, 3, 5, 7, 11, 13….. are some examples of prime numbers. Now the term prime factorization means breaking down a number into its prime factors. To understand the concept of prime factorization, you can download the prime factorization worksheet from our BYJU’S website. The worksheets are structured, keeping in mind the diverse understanding ability of children who are in junior class.

Prime Factors and Factors

For children, sometimes, the term prime factors and factors often turn out to be confusing. Factors are numbers that are multiplied to get a product; for example, if they are asked to find the factors of 24, then they would be 2, 3, 6, 4, 24, 1, and 12. Whereas, if they are asked to find the prime factors, then it would be 2 * 2 * 2 * 3. Once a child understands the difference between finding prime factors of a number and factors of a number, it would be easy for them to understand the concept of prime factorization. As parents, you can find a number of prime factorization worksheets on our BYJU’S website, which will help your kids to understand and practise.

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Ways to Find Prime Factorization

There are generally two ways to find the prime factors of a number; one is the division method which is commonly used by students, and the other is the tree method.

  • Division Method – In the division method, the given number is divided by the smallest prime factor. You have to continue the division with nearest and small prime numbers till the quotient becomes 1.
  • Tree Method – In the tree method, at first, you have to write the factors of the number and then find the prime factors of those corresponding factors. This process is a bit lengthier than the division method, and children might find it a tad complicated.

It is important to learn prime factorization since it will help the kids to develop an understanding of HCF (Highest Common Factor) and LCM (Least Common Multiple). Once your kid is in a higher class, finding HCF and LCM of a number will be an important topic in their mathematics curriculum. For more Kids Learning activities, visit BYJU’S website.

Frequently Asked Questions on Prime Factorization Worksheet


What are prime numbers?

Numbers which are divisible by only themselves and 1 are known as prime numbers. 2,3,5,7,9,11,13,17,19 and so on are prime numbers.


Where do I get prime factorization worksheets?

If you are looking for a prime factorization worksheet, then your one-stop should be BYJU’S. We offer many prime factorization worksheets as well as prime factorization word problems worksheets. These worksheets will help your child to understand the concept and practise them.

Related Links

Factors Worksheets Factors and Multiples Worksheets
Multiplication Worksheets Fraction Word Problems Worksheets


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