Q: What are the factor combinations of the number 6,875,375?

 A:
Positive:   1 x 68753755 x 137507513 x 52887525 x 27501565 x 105775125 x 55003325 x 211551625 x 4231
Negative: -1 x -6875375-5 x -1375075-13 x -528875-25 x -275015-65 x -105775-125 x -55003-325 x -21155-1625 x -4231


How do I find the factor combinations of the number 6,875,375?

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 6,875,375, 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 6,875,375
-1 -6,875,375

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 6,875,375.

Example:
1 x 6,875,375 = 6,875,375
and
-1 x -6,875,375 = 6,875,375
Notice both answers equal 6,875,375

With that explanation out of the way, let's continue. Next, we take the number 6,875,375 and divide it by 2:

6,875,375 ÷ 2 = 3,437,687.5

If the quotient is a whole number, then 2 and 3,437,687.5 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 6,875,375
-1 -6,875,375

Now, we try dividing 6,875,375 by 3:

6,875,375 ÷ 3 = 2,291,791.6667

If the quotient is a whole number, then 3 and 2,291,791.6667 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 6,875,375
-1 -6,875,375

Let's try dividing by 4:

6,875,375 ÷ 4 = 1,718,843.75

If the quotient is a whole number, then 4 and 1,718,843.75 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 6,875,375
-1 6,875,375
Keep dividing by the next highest number until you cannot divide anymore.

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

151325651253251,6254,23121,15555,003105,775275,015528,8751,375,0756,875,375
-1-5-13-25-65-125-325-1,625-4,231-21,155-55,003-105,775-275,015-528,875-1,375,075-6,875,375

More Examples

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