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Prime Numbers Activities with Smartick


In previous posts we’ve learned about prime numbers and composite numbers. Today we’re going to look at different sequenced prime numbers activities involving prime numbers that Smartick students work on. We’ve included examples of different types and levels, from identifying whether a number is prime or composite to finding the least common multiple and highest common factor through prime factor decomposition. Let’s jump right in with the first example:

Identifying Prime Numbers

This activity asks students to identify whether a number is prime or composite.

Prime Numbers Activities

7 is a prime number because it is only divisible by 1 and 7.

Prime Numbers Activities

Factorization of Composite Numbers

These types of exercises require the student to find three different multiplications that give the same result (the composite number).

Prime Numbers Activities

In this example there are three solutions:

The first would be to multiply 1 x 12, the second 2 x 6 and the third 3 x 4. This shows us that the number is not prime, because it is divisible by other numbers other than 1 and itself. We also learn that there are other possibilities, in addition to factorization with prime numbers.

Prime numbers

Prime Numbers and Rules of divisibility

We learned about divisibility criteria in a previous post. There are also Smartick exercises that require us to work out which numbers are prime and which aren’t, by applying these criteria.

Prime numbers

We have to select the numbers 5, 7, 17, 23, and 37. These numbers are only divisible by 1 and themselves. The rest are divisible by other numbers. Following the divisibility criteria, 4 is divisible by 2, 27 is divisible by 3, 35 is divisible by 5 and 39 is divisible by 3. Therefore they are not prime numbers.

Prime numbers

Finding the Highest Common Factor through Factorization with Prime Numbers

Prime numbers

To find the HCF of 8 and 12, we need to decompose these two numbers into their prime factors and find the common factors raised to the smallest exponent.

8 = 2 x 2 x 2, and 12 = 2 x 2 x 3. The only common factor is 2, and the smallest exponent it is elevated to is also 2. 2 x 2 = 4

Prime numbers

If you want to keep practicing exercises involving prime numbers activities and much more, you can log in to Smartick and try it for free to learn much more elementary math!

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Diane Ackerman
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  • Blessing omoefeSep 14 2021, 11:08 AM

    I want to register for my child

    • Smartick HelpSep 16 2021, 3:57 AM

      I would recommend signing up for our free trial at and taking a look at the rates listed on our Parent Page to find what works best for your child. Smartick subscription costs are dependent upon the number of children signed up and the duration of the subscription (monthly, quarterly, or annually). If you have any questions, feel free to contact our Pedagogical Support Team at [email protected].