Q: What are the factor combinations of the number 38,814,383?

 A:
Positive:   1 x 3881438317 x 228319929 x 1338427131 x 296293493 x 78731601 x 645832227 x 174293799 x 10217
Negative: -1 x -38814383-17 x -2283199-29 x -1338427-131 x -296293-493 x -78731-601 x -64583-2227 x -17429-3799 x -10217


How do I find the factor combinations of the number 38,814,383?

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 38,814,383, 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 38,814,383
-1 -38,814,383

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 38,814,383.

Example:
1 x 38,814,383 = 38,814,383
and
-1 x -38,814,383 = 38,814,383
Notice both answers equal 38,814,383

With that explanation out of the way, let's continue. Next, we take the number 38,814,383 and divide it by 2:

38,814,383 ÷ 2 = 19,407,191.5

If the quotient is a whole number, then 2 and 19,407,191.5 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 38,814,383
-1 -38,814,383

Now, we try dividing 38,814,383 by 3:

38,814,383 ÷ 3 = 12,938,127.6667

If the quotient is a whole number, then 3 and 12,938,127.6667 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 38,814,383
-1 -38,814,383

Let's try dividing by 4:

38,814,383 ÷ 4 = 9,703,595.75

If the quotient is a whole number, then 4 and 9,703,595.75 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 38,814,383
-1 38,814,383
Keep dividing by the next highest number until you cannot divide anymore.

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

117291314936012,2273,79910,21717,42964,58378,731296,2931,338,4272,283,19938,814,383
-1-17-29-131-493-601-2,227-3,799-10,217-17,429-64,583-78,731-296,293-1,338,427-2,283,199-38,814,383

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