Q: What are the factor combinations of the number 10,231,637?

 A:
Positive:   1 x 1023163713 x 78704917 x 60186167 x 152711221 x 46297691 x 14807871 x 117471139 x 8983
Negative: -1 x -10231637-13 x -787049-17 x -601861-67 x -152711-221 x -46297-691 x -14807-871 x -11747-1139 x -8983


How do I find the factor combinations of the number 10,231,637?

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 10,231,637, 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 10,231,637
-1 -10,231,637

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 10,231,637.

Example:
1 x 10,231,637 = 10,231,637
and
-1 x -10,231,637 = 10,231,637
Notice both answers equal 10,231,637

With that explanation out of the way, let's continue. Next, we take the number 10,231,637 and divide it by 2:

10,231,637 ÷ 2 = 5,115,818.5

If the quotient is a whole number, then 2 and 5,115,818.5 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 10,231,637
-1 -10,231,637

Now, we try dividing 10,231,637 by 3:

10,231,637 ÷ 3 = 3,410,545.6667

If the quotient is a whole number, then 3 and 3,410,545.6667 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 10,231,637
-1 -10,231,637

Let's try dividing by 4:

10,231,637 ÷ 4 = 2,557,909.25

If the quotient is a whole number, then 4 and 2,557,909.25 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 10,231,637
-1 10,231,637
Keep dividing by the next highest number until you cannot divide anymore.

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

11317672216918711,1398,98311,74714,80746,297152,711601,861787,04910,231,637
-1-13-17-67-221-691-871-1,139-8,983-11,747-14,807-46,297-152,711-601,861-787,049-10,231,637

More Examples

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