Q: What are the factor combinations of the number 38,890,313?

 A:
Positive:   1 x 388903137 x 555575911 x 353548377 x 505069157 x 2477091099 x 353871727 x 225193217 x 12089
Negative: -1 x -38890313-7 x -5555759-11 x -3535483-77 x -505069-157 x -247709-1099 x -35387-1727 x -22519-3217 x -12089


How do I find the factor combinations of the number 38,890,313?

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 38,890,313, 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 38,890,313
-1 -38,890,313

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 38,890,313.

Example:
1 x 38,890,313 = 38,890,313
and
-1 x -38,890,313 = 38,890,313
Notice both answers equal 38,890,313

With that explanation out of the way, let's continue. Next, we take the number 38,890,313 and divide it by 2:

38,890,313 ÷ 2 = 19,445,156.5

If the quotient is a whole number, then 2 and 19,445,156.5 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 38,890,313
-1 -38,890,313

Now, we try dividing 38,890,313 by 3:

38,890,313 ÷ 3 = 12,963,437.6667

If the quotient is a whole number, then 3 and 12,963,437.6667 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 38,890,313
-1 -38,890,313

Let's try dividing by 4:

38,890,313 ÷ 4 = 9,722,578.25

If the quotient is a whole number, then 4 and 9,722,578.25 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 38,890,313
-1 38,890,313
Keep dividing by the next highest number until you cannot divide anymore.

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

1711771571,0991,7273,21712,08922,51935,387247,709505,0693,535,4835,555,75938,890,313
-1-7-11-77-157-1,099-1,727-3,217-12,089-22,519-35,387-247,709-505,069-3,535,483-5,555,759-38,890,313

More Examples

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