Q: What are the factor combinations of the number 6,777,775?

 A:
Positive:   1 x 67777755 x 135555519 x 35672525 x 27111195 x 71345361 x 18775475 x 14269751 x 90251805 x 3755
Negative: -1 x -6777775-5 x -1355555-19 x -356725-25 x -271111-95 x -71345-361 x -18775-475 x -14269-751 x -9025-1805 x -3755


How do I find the factor combinations of the number 6,777,775?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 6,777,775, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 6,777,775
-1 -6,777,775

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 6,777,775.

Example:
1 x 6,777,775 = 6,777,775
and
-1 x -6,777,775 = 6,777,775
Notice both answers equal 6,777,775

With that explanation out of the way, let's continue. Next, we take the number 6,777,775 and divide it by 2:

6,777,775 ÷ 2 = 3,388,887.5

If the quotient is a whole number, then 2 and 3,388,887.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 6,777,775
-1 -6,777,775

Now, we try dividing 6,777,775 by 3:

6,777,775 ÷ 3 = 2,259,258.3333

If the quotient is a whole number, then 3 and 2,259,258.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 6,777,775
-1 -6,777,775

Let's try dividing by 4:

6,777,775 ÷ 4 = 1,694,443.75

If the quotient is a whole number, then 4 and 1,694,443.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 6,777,775
-1 6,777,775
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

151925953614757511,8053,7559,02514,26918,77571,345271,111356,7251,355,5556,777,775
-1-5-19-25-95-361-475-751-1,805-3,755-9,025-14,269-18,775-71,345-271,111-356,725-1,355,555-6,777,775

More Examples

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