Q: What are the factor combinations of the number 38,355,623?

 A:
Positive:   1 x 3835562319 x 201871741 x 93550353 x 723691779 x 49237929 x 412871007 x 380892173 x 17651
Negative: -1 x -38355623-19 x -2018717-41 x -935503-53 x -723691-779 x -49237-929 x -41287-1007 x -38089-2173 x -17651


How do I find the factor combinations of the number 38,355,623?

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 38,355,623, 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 38,355,623
-1 -38,355,623

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 38,355,623.

Example:
1 x 38,355,623 = 38,355,623
and
-1 x -38,355,623 = 38,355,623
Notice both answers equal 38,355,623

With that explanation out of the way, let's continue. Next, we take the number 38,355,623 and divide it by 2:

38,355,623 ÷ 2 = 19,177,811.5

If the quotient is a whole number, then 2 and 19,177,811.5 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 38,355,623
-1 -38,355,623

Now, we try dividing 38,355,623 by 3:

38,355,623 ÷ 3 = 12,785,207.6667

If the quotient is a whole number, then 3 and 12,785,207.6667 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 38,355,623
-1 -38,355,623

Let's try dividing by 4:

38,355,623 ÷ 4 = 9,588,905.75

If the quotient is a whole number, then 4 and 9,588,905.75 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 38,355,623
-1 38,355,623
Keep dividing by the next highest number until you cannot divide anymore.

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

11941537799291,0072,17317,65138,08941,28749,237723,691935,5032,018,71738,355,623
-1-19-41-53-779-929-1,007-2,173-17,651-38,089-41,287-49,237-723,691-935,503-2,018,717-38,355,623

More Examples

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