Q: What are the factor combinations of the number 12,235,379?

 A:
Positive:   1 x 1223537913 x 94118323 x 531973151 x 81029271 x 45149299 x 409211963 x 62333473 x 3523
Negative: -1 x -12235379-13 x -941183-23 x -531973-151 x -81029-271 x -45149-299 x -40921-1963 x -6233-3473 x -3523


How do I find the factor combinations of the number 12,235,379?

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 12,235,379, 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 12,235,379
-1 -12,235,379

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 12,235,379.

Example:
1 x 12,235,379 = 12,235,379
and
-1 x -12,235,379 = 12,235,379
Notice both answers equal 12,235,379

With that explanation out of the way, let's continue. Next, we take the number 12,235,379 and divide it by 2:

12,235,379 ÷ 2 = 6,117,689.5

If the quotient is a whole number, then 2 and 6,117,689.5 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 12,235,379
-1 -12,235,379

Now, we try dividing 12,235,379 by 3:

12,235,379 ÷ 3 = 4,078,459.6667

If the quotient is a whole number, then 3 and 4,078,459.6667 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 12,235,379
-1 -12,235,379

Let's try dividing by 4:

12,235,379 ÷ 4 = 3,058,844.75

If the quotient is a whole number, then 4 and 3,058,844.75 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 12,235,379
-1 12,235,379
Keep dividing by the next highest number until you cannot divide anymore.

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

113231512712991,9633,4733,5236,23340,92145,14981,029531,973941,18312,235,379
-1-13-23-151-271-299-1,963-3,473-3,523-6,233-40,921-45,149-81,029-531,973-941,183-12,235,379

More Examples

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