Q: What are the factor combinations of the number 38,179,313?

 A:
Positive:   1 x 3817931343 x 88789159 x 647107101 x 378013149 x 2562372537 x 150494343 x 87915959 x 6407
Negative: -1 x -38179313-43 x -887891-59 x -647107-101 x -378013-149 x -256237-2537 x -15049-4343 x -8791-5959 x -6407


How do I find the factor combinations of the number 38,179,313?

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 38,179,313, 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 38,179,313
-1 -38,179,313

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 38,179,313.

Example:
1 x 38,179,313 = 38,179,313
and
-1 x -38,179,313 = 38,179,313
Notice both answers equal 38,179,313

With that explanation out of the way, let's continue. Next, we take the number 38,179,313 and divide it by 2:

38,179,313 ÷ 2 = 19,089,656.5

If the quotient is a whole number, then 2 and 19,089,656.5 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 38,179,313
-1 -38,179,313

Now, we try dividing 38,179,313 by 3:

38,179,313 ÷ 3 = 12,726,437.6667

If the quotient is a whole number, then 3 and 12,726,437.6667 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 38,179,313
-1 -38,179,313

Let's try dividing by 4:

38,179,313 ÷ 4 = 9,544,828.25

If the quotient is a whole number, then 4 and 9,544,828.25 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 38,179,313
-1 38,179,313
Keep dividing by the next highest number until you cannot divide anymore.

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

143591011492,5374,3435,9596,4078,79115,049256,237378,013647,107887,89138,179,313
-1-43-59-101-149-2,537-4,343-5,959-6,407-8,791-15,049-256,237-378,013-647,107-887,891-38,179,313

More Examples

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