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Do you know what these numbers have in common? 2, 4, 6, 8, 10, 12, 14…That’s right, they are even numbers. One important thing to remember that even numbers can do that other sets of numbers can’t do is that they are equally divisible by 2.
This is important to remember when trying to find the factors of a number. If it is an even number, then you will automatically have the number 2 as a factor.
Another good tip is that multiples of 3 have something in common too that’s important for finding factors. You guessed it. Those numbers can be divisible by 3. So, 3 would be a factor for those numbers.
The good thing to know is that the smaller numbers usually have fewer factors. So, if you get stuck trying to find all of the factors for a large number, it will probably take you longer. Let’s compare the number 6 with the number 1200.
Obviously, six will have 6 or fewer factors. However, 1200 could have as many as 1200. Of course, it won’t because there are numbers that won’t evenly divide into 1200, but you will have to spend time seeing if several numbers can divide into 1200 evenly.
Back to the number 6, let’s find the factors for this small number. Look at the tips below that you can use for all numbers and not just small numbers.
Tip 1: Start off with 1 and itself. (1,6)
Tip 2: Even numbers will always have 2 as a factor (1, 2, 6)
Also, remember its partner. $$2\;\times\;\_\_\_\_\;=\;6$$
Two and three are factors because 2 times 3 equals 6.
Tip 3: Multiples of 3 are evenly divisible by 3. (1, 2, 3, 6)
Also, remember its partner. $$3\;\times\;\_\_\_\_\;=\;6$$
After starting with these tips, you will need to find the other factors, but this will be a good start and knock some of the factors out of the way. For a small number like 6, this shouldn’t take you much time.
Factors of 6 are 1, 2, 3, and 6
Since 6 is such a small number, there are only a few steps to finding all of the factors for this number. However, these steps can be used with finding other factors for other numbers too. For 6, first, write down 1 and itself as the first factors for 6. Then since 6 is an even number, 2 will be a factor and its partner. 3 is 2’s partner, so 3 is also a factor of 6.
This is a common problem when finding the factors for a number. With the number 6, you start by seeing if 2 and 3 can evenly divide into 6. However, 6, the number itself, will be the highest factor. There are two numbers left to check, 4 and 5. Both 4 and 5 cannot be evenly divided into 6. There would be remainders. So, there are four factors for 6. Those are 1, 2, 3, and 6.
Factors of 6 can be used whenever you are dividing numbers into 6. Also, think about the many things that come in sixes. You can get a six-pack of soft drinks. There are many grocery items that come in groups of 6 like bagels, muffins, or cinnamon rolls. When you need to divide food among people, you may need to use the factors of 6.
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