Hey Math Aces! Today, we're diving into the fascinating world of factors, and our lucky number is 60. Buckle up, because this is going to be a fun ride!
First off, what are factors? Simply put, factors are numbers that multiply together to give another number. For example, if you can multiply 2 and 3 to get 6, then 2 and 3 are factors of 6.
Now, let’s find the factors of 60. To do this, we look for pairs of numbers that multiply to give us 60.
Factor Pairs of 60
1 and 60: Start with 1. Every number is divisible by 1. So, 1 x 60 = 60.
2 and 30: 60 is an even number, so it's divisible by 2. 2 x 30 = 60.
3 and 20: Adding the digits of 60 (6+0) gives us 6, which is divisible by 3. So, 3 x 20 = 60.
4 and 15: Since 60 divided by 4 equals 15, 4 x 15 = 60.
5 and 12: The last digit of 60 is 0, so it's divisible by 5. Thus, 5 x 12 = 60.
6 and 10: Lastly, 60 divided by 6 equals 10. So, 6 x 10 = 60.
These pairs are called factor pairs of 60.
Greatest Common Factor (GCF)
What if we need to find the greatest common factor (GCF) of two numbers? The GCF is the largest number that can divide both numbers. For example, the GCF of 60 and 48 is found by listing their common factors and choosing the greatest one. The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60, while the factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48. The greatest number common to both lists is 12, so the
GCF of 60 and 48 is 12.
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See you in math class!
~Mr. Ace
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