Q: What are the factor combinations of the number 38,392,937?

 A:
Positive:   1 x 3839293711 x 349026743 x 89285947 x 816871121 x 317297157 x 244541473 x 81169517 x 742611727 x 222312021 x 189975203 x 73795687 x 6751
Negative: -1 x -38392937-11 x -3490267-43 x -892859-47 x -816871-121 x -317297-157 x -244541-473 x -81169-517 x -74261-1727 x -22231-2021 x -18997-5203 x -7379-5687 x -6751


How do I find the factor combinations of the number 38,392,937?

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 38,392,937, 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 38,392,937
-1 -38,392,937

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 38,392,937.

Example:
1 x 38,392,937 = 38,392,937
and
-1 x -38,392,937 = 38,392,937
Notice both answers equal 38,392,937

With that explanation out of the way, let's continue. Next, we take the number 38,392,937 and divide it by 2:

38,392,937 ÷ 2 = 19,196,468.5

If the quotient is a whole number, then 2 and 19,196,468.5 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 38,392,937
-1 -38,392,937

Now, we try dividing 38,392,937 by 3:

38,392,937 ÷ 3 = 12,797,645.6667

If the quotient is a whole number, then 3 and 12,797,645.6667 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 38,392,937
-1 -38,392,937

Let's try dividing by 4:

38,392,937 ÷ 4 = 9,598,234.25

If the quotient is a whole number, then 4 and 9,598,234.25 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 38,392,937
-1 38,392,937
Keep dividing by the next highest number until you cannot divide anymore.

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

11143471211574735171,7272,0215,2035,6876,7517,37918,99722,23174,26181,169244,541317,297816,871892,8593,490,26738,392,937
-1-11-43-47-121-157-473-517-1,727-2,021-5,203-5,687-6,751-7,379-18,997-22,231-74,261-81,169-244,541-317,297-816,871-892,859-3,490,267-38,392,937

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