Q: What are the factor combinations of the number 15,425,707?

 A:
Positive:   1 x 1542570711 x 140233737 x 416911151 x 102157251 x 61457407 x 379011661 x 92872761 x 5587
Negative: -1 x -15425707-11 x -1402337-37 x -416911-151 x -102157-251 x -61457-407 x -37901-1661 x -9287-2761 x -5587


How do I find the factor combinations of the number 15,425,707?

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 15,425,707, 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 15,425,707
-1 -15,425,707

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 15,425,707.

Example:
1 x 15,425,707 = 15,425,707
and
-1 x -15,425,707 = 15,425,707
Notice both answers equal 15,425,707

With that explanation out of the way, let's continue. Next, we take the number 15,425,707 and divide it by 2:

15,425,707 ÷ 2 = 7,712,853.5

If the quotient is a whole number, then 2 and 7,712,853.5 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 15,425,707
-1 -15,425,707

Now, we try dividing 15,425,707 by 3:

15,425,707 ÷ 3 = 5,141,902.3333

If the quotient is a whole number, then 3 and 5,141,902.3333 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 15,425,707
-1 -15,425,707

Let's try dividing by 4:

15,425,707 ÷ 4 = 3,856,426.75

If the quotient is a whole number, then 4 and 3,856,426.75 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 15,425,707
-1 15,425,707
Keep dividing by the next highest number until you cannot divide anymore.

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

111371512514071,6612,7615,5879,28737,90161,457102,157416,9111,402,33715,425,707
-1-11-37-151-251-407-1,661-2,761-5,587-9,287-37,901-61,457-102,157-416,911-1,402,337-15,425,707

More Examples

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