Hello, Math Aces! Today, we're diving into the fascinating world of factors, using the number 42 as our guide. Factors are the numbers you multiply together to get another number. For example, in the case of 42, what numbers can we multiply to get 42? Let’s find out!

First, let's break down 42 into its factor pairs. Factor pairs are two numbers that, when multiplied, give you the original number. So, what are the factor pairs of 42?

1 and 42: If you multiply 1 by 42, you get 42.

2 and 21: Multiplying 2 by 21 also equals 42.

3 and 14: When you multiply 3 by 14, you get 42.

6 and 7: And finally, multiplying 6 by 7 gives you 42.

So, the factors of 42 are 1, 2, 3, 6, 7, 14, 21, and 42.

Now, let’s talk about common factors. Common factors are numbers that two different numbers share as factors. For example, what are the common factors of 42 and 28? First, list out the factors of 28 (1, 2, 4, 7, 14, 28) and compare them with the factors of 42. The common factors are 1, 2, 7, and 14.

The Greatest Common Factor (GCF) or Highest Common Factor (HCF) is the largest number that is a factor of two or more numbers. For 42 and 28, the GCF is 14.

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Keep exploring the world of factors, Math Aces, and remember, the more you practice, the better you get at it.

See you in math class!

~Mr. Ace

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