Q: What are the factor combinations of the number 13,708,001?

 A:
Positive:   1 x 1370800117 x 80635359 x 23233979 x 173519173 x 792371003 x 136671343 x 102072941 x 4661
Negative: -1 x -13708001-17 x -806353-59 x -232339-79 x -173519-173 x -79237-1003 x -13667-1343 x -10207-2941 x -4661


How do I find the factor combinations of the number 13,708,001?

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 13,708,001, 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 13,708,001
-1 -13,708,001

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 13,708,001.

Example:
1 x 13,708,001 = 13,708,001
and
-1 x -13,708,001 = 13,708,001
Notice both answers equal 13,708,001

With that explanation out of the way, let's continue. Next, we take the number 13,708,001 and divide it by 2:

13,708,001 ÷ 2 = 6,854,000.5

If the quotient is a whole number, then 2 and 6,854,000.5 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 13,708,001
-1 -13,708,001

Now, we try dividing 13,708,001 by 3:

13,708,001 ÷ 3 = 4,569,333.6667

If the quotient is a whole number, then 3 and 4,569,333.6667 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 13,708,001
-1 -13,708,001

Let's try dividing by 4:

13,708,001 ÷ 4 = 3,427,000.25

If the quotient is a whole number, then 4 and 3,427,000.25 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 13,708,001
-1 13,708,001
Keep dividing by the next highest number until you cannot divide anymore.

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

11759791731,0031,3432,9414,66110,20713,66779,237173,519232,339806,35313,708,001
-1-17-59-79-173-1,003-1,343-2,941-4,661-10,207-13,667-79,237-173,519-232,339-806,353-13,708,001

More Examples

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