Q: What are the factor combinations of the number 11,425,105?

 A:
Positive:   1 x 114251055 x 228502117 x 67206585 x 134413139 x 82195695 x 16439967 x 118152363 x 4835
Negative: -1 x -11425105-5 x -2285021-17 x -672065-85 x -134413-139 x -82195-695 x -16439-967 x -11815-2363 x -4835


How do I find the factor combinations of the number 11,425,105?

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 11,425,105, 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 11,425,105
-1 -11,425,105

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 11,425,105.

Example:
1 x 11,425,105 = 11,425,105
and
-1 x -11,425,105 = 11,425,105
Notice both answers equal 11,425,105

With that explanation out of the way, let's continue. Next, we take the number 11,425,105 and divide it by 2:

11,425,105 ÷ 2 = 5,712,552.5

If the quotient is a whole number, then 2 and 5,712,552.5 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 11,425,105
-1 -11,425,105

Now, we try dividing 11,425,105 by 3:

11,425,105 ÷ 3 = 3,808,368.3333

If the quotient is a whole number, then 3 and 3,808,368.3333 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 11,425,105
-1 -11,425,105

Let's try dividing by 4:

11,425,105 ÷ 4 = 2,856,276.25

If the quotient is a whole number, then 4 and 2,856,276.25 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 11,425,105
-1 11,425,105
Keep dividing by the next highest number until you cannot divide anymore.

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

1517851396959672,3634,83511,81516,43982,195134,413672,0652,285,02111,425,105
-1-5-17-85-139-695-967-2,363-4,835-11,815-16,439-82,195-134,413-672,065-2,285,021-11,425,105

More Examples

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