Prime Factorization

Breaking numbers down to their building blocks!

What is Prime Factorization?

Prime factorization is like taking apart a Lego structure to see all the individual blocks it's made of!
It's the process of breaking down a number into the prime numbers that multiply together to make the original number. Prime numbers are special numbers greater than 1 that can only be divided by 1 and themselves.

How to Find Prime Factors

1️⃣ Divide by the smallest prime number (2) until you can't anymore

2️⃣ Move up to the next prime number (3, 5, 7, etc.) and repeat

3️⃣ Continue until you're left with 1

Let's Practice Together!

Example 1: Factor Tree for 24

Click the boxes to see how 24 breaks down into prime factors:

24

Example 2: Find the Prime Factors

What are the prime factors of 36? Enter them below (separated by commas):

Parent Tips 🌟

  • Make it visual: Use colored blocks or beads to physically break down numbers into their factors.
  • Daily numbers: Pick numbers from everyday life (ages, house numbers, prices) to factor together.
  • Game challenge: See who can find prime factors fastest - use a timer for added fun!

Ready for More Math Fun?

Continue your child's math journey with our interactive lessons and games!

Download iMath App