Q: What are the factor combinations of the number 27,669,383?

 A:
Positive:   1 x 276693837 x 395276941 x 674863229 x 120827287 x 96409421 x 657231603 x 172612947 x 9389
Negative: -1 x -27669383-7 x -3952769-41 x -674863-229 x -120827-287 x -96409-421 x -65723-1603 x -17261-2947 x -9389


How do I find the factor combinations of the number 27,669,383?

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 27,669,383, 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 27,669,383
-1 -27,669,383

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 27,669,383.

Example:
1 x 27,669,383 = 27,669,383
and
-1 x -27,669,383 = 27,669,383
Notice both answers equal 27,669,383

With that explanation out of the way, let's continue. Next, we take the number 27,669,383 and divide it by 2:

27,669,383 ÷ 2 = 13,834,691.5

If the quotient is a whole number, then 2 and 13,834,691.5 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 27,669,383
-1 -27,669,383

Now, we try dividing 27,669,383 by 3:

27,669,383 ÷ 3 = 9,223,127.6667

If the quotient is a whole number, then 3 and 9,223,127.6667 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 27,669,383
-1 -27,669,383

Let's try dividing by 4:

27,669,383 ÷ 4 = 6,917,345.75

If the quotient is a whole number, then 4 and 6,917,345.75 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 27,669,383
-1 27,669,383
Keep dividing by the next highest number until you cannot divide anymore.

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

17412292874211,6032,9479,38917,26165,72396,409120,827674,8633,952,76927,669,383
-1-7-41-229-287-421-1,603-2,947-9,389-17,261-65,723-96,409-120,827-674,863-3,952,769-27,669,383

More Examples

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