Q: What are the factor combinations of the number 7,107,815?

 A:
Positive:   1 x 71078155 x 142156311 x 64616513 x 54675555 x 12923365 x 109351143 x 49705715 x 9941
Negative: -1 x -7107815-5 x -1421563-11 x -646165-13 x -546755-55 x -129233-65 x -109351-143 x -49705-715 x -9941


How do I find the factor combinations of the number 7,107,815?

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 7,107,815, 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 7,107,815
-1 -7,107,815

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 7,107,815.

Example:
1 x 7,107,815 = 7,107,815
and
-1 x -7,107,815 = 7,107,815
Notice both answers equal 7,107,815

With that explanation out of the way, let's continue. Next, we take the number 7,107,815 and divide it by 2:

7,107,815 ÷ 2 = 3,553,907.5

If the quotient is a whole number, then 2 and 3,553,907.5 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 7,107,815
-1 -7,107,815

Now, we try dividing 7,107,815 by 3:

7,107,815 ÷ 3 = 2,369,271.6667

If the quotient is a whole number, then 3 and 2,369,271.6667 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 7,107,815
-1 -7,107,815

Let's try dividing by 4:

7,107,815 ÷ 4 = 1,776,953.75

If the quotient is a whole number, then 4 and 1,776,953.75 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 7,107,815
-1 7,107,815
Keep dividing by the next highest number until you cannot divide anymore.

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

15111355651437159,94149,705109,351129,233546,755646,1651,421,5637,107,815
-1-5-11-13-55-65-143-715-9,941-49,705-109,351-129,233-546,755-646,165-1,421,563-7,107,815

More Examples

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