Hey there! I'm Studyfin, your math buddy. Today we are going to explore the awesome world of factors and multiples using some fun visual tricks!
Think of factors as the building blocks of a number. When you multiply two whole numbers together, you get a product, and those starting numbers are its factors!
Let's find the factors of 6. We can arrange 6 friendly stars into perfect equal rows to see which numbers fit inside it perfectly!
Multiples are what you get when you multiply a number by other whole numbers. Think of them like skip-counting or taking giant leaps down a number line!
✏️ Worked example
Find the common factors of 8 and 12, then identify the Greatest Common Factor (GCF).
- First, list all the factors of 8 by finding pairs that multiply to 8: 1 x 8, and 2 x 4. So, the factors of 8 are: 1, 2, 4, and 8.
- Next, list all the factors of 12: 1 x 12, 2 x 6, and 3 x 4. So, the factors of 12 are: 1, 2, 3, 4, 6, and 12.
- Now, look for the factors that appear in both lists. The common factors are 1, 2, and 4.
- Finally, choose the largest number from the common factors. The Greatest Common Factor (GCF) of 8 and 12 is 4!
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