Q: What are the factor combinations of the number 13,685,105?

 A:
Positive:   1 x 136851055 x 27370217 x 195501531 x 44145535 x 391003155 x 88291217 x 630651085 x 12613
Negative: -1 x -13685105-5 x -2737021-7 x -1955015-31 x -441455-35 x -391003-155 x -88291-217 x -63065-1085 x -12613


How do I find the factor combinations of the number 13,685,105?

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 13,685,105, 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 13,685,105
-1 -13,685,105

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 13,685,105.

Example:
1 x 13,685,105 = 13,685,105
and
-1 x -13,685,105 = 13,685,105
Notice both answers equal 13,685,105

With that explanation out of the way, let's continue. Next, we take the number 13,685,105 and divide it by 2:

13,685,105 ÷ 2 = 6,842,552.5

If the quotient is a whole number, then 2 and 6,842,552.5 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 13,685,105
-1 -13,685,105

Now, we try dividing 13,685,105 by 3:

13,685,105 ÷ 3 = 4,561,701.6667

If the quotient is a whole number, then 3 and 4,561,701.6667 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 13,685,105
-1 -13,685,105

Let's try dividing by 4:

13,685,105 ÷ 4 = 3,421,276.25

If the quotient is a whole number, then 4 and 3,421,276.25 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 13,685,105
-1 13,685,105
Keep dividing by the next highest number until you cannot divide anymore.

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

15731351552171,08512,61363,06588,291391,003441,4551,955,0152,737,02113,685,105
-1-5-7-31-35-155-217-1,085-12,613-63,065-88,291-391,003-441,455-1,955,015-2,737,021-13,685,105

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