Q: What are the factor combinations of the number 13,831,013?

 A:
Positive:   1 x 138310137 x 197585917 x 81358971 x 194803119 x 116227497 x 278291207 x 114591637 x 8449
Negative: -1 x -13831013-7 x -1975859-17 x -813589-71 x -194803-119 x -116227-497 x -27829-1207 x -11459-1637 x -8449


How do I find the factor combinations of the number 13,831,013?

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 13,831,013, 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 13,831,013
-1 -13,831,013

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 13,831,013.

Example:
1 x 13,831,013 = 13,831,013
and
-1 x -13,831,013 = 13,831,013
Notice both answers equal 13,831,013

With that explanation out of the way, let's continue. Next, we take the number 13,831,013 and divide it by 2:

13,831,013 ÷ 2 = 6,915,506.5

If the quotient is a whole number, then 2 and 6,915,506.5 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 13,831,013
-1 -13,831,013

Now, we try dividing 13,831,013 by 3:

13,831,013 ÷ 3 = 4,610,337.6667

If the quotient is a whole number, then 3 and 4,610,337.6667 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 13,831,013
-1 -13,831,013

Let's try dividing by 4:

13,831,013 ÷ 4 = 3,457,753.25

If the quotient is a whole number, then 4 and 3,457,753.25 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 13,831,013
-1 13,831,013
Keep dividing by the next highest number until you cannot divide anymore.

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

1717711194971,2071,6378,44911,45927,829116,227194,803813,5891,975,85913,831,013
-1-7-17-71-119-497-1,207-1,637-8,449-11,459-27,829-116,227-194,803-813,589-1,975,859-13,831,013

More Examples

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