Q: What are the factor combinations of the number 7,106,855?

 A:
Positive:   1 x 71068555 x 14213717 x 101526519 x 37404535 x 20305395 x 74809133 x 53435665 x 10687
Negative: -1 x -7106855-5 x -1421371-7 x -1015265-19 x -374045-35 x -203053-95 x -74809-133 x -53435-665 x -10687


How do I find the factor combinations of the number 7,106,855?

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 7,106,855, 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 7,106,855
-1 -7,106,855

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 7,106,855.

Example:
1 x 7,106,855 = 7,106,855
and
-1 x -7,106,855 = 7,106,855
Notice both answers equal 7,106,855

With that explanation out of the way, let's continue. Next, we take the number 7,106,855 and divide it by 2:

7,106,855 ÷ 2 = 3,553,427.5

If the quotient is a whole number, then 2 and 3,553,427.5 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 7,106,855
-1 -7,106,855

Now, we try dividing 7,106,855 by 3:

7,106,855 ÷ 3 = 2,368,951.6667

If the quotient is a whole number, then 3 and 2,368,951.6667 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 7,106,855
-1 -7,106,855

Let's try dividing by 4:

7,106,855 ÷ 4 = 1,776,713.75

If the quotient is a whole number, then 4 and 1,776,713.75 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 7,106,855
-1 7,106,855
Keep dividing by the next highest number until you cannot divide anymore.

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

15719359513366510,68753,43574,809203,053374,0451,015,2651,421,3717,106,855
-1-5-7-19-35-95-133-665-10,687-53,435-74,809-203,053-374,045-1,015,265-1,421,371-7,106,855

More Examples

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