Q: What are the factor combinations of the number 13,801,705?

 A:
Positive:   1 x 138017055 x 276034117 x 81186585 x 162373397 x 34765409 x 337451985 x 69532045 x 6749
Negative: -1 x -13801705-5 x -2760341-17 x -811865-85 x -162373-397 x -34765-409 x -33745-1985 x -6953-2045 x -6749


How do I find the factor combinations of the number 13,801,705?

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 13,801,705, 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 13,801,705
-1 -13,801,705

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 13,801,705.

Example:
1 x 13,801,705 = 13,801,705
and
-1 x -13,801,705 = 13,801,705
Notice both answers equal 13,801,705

With that explanation out of the way, let's continue. Next, we take the number 13,801,705 and divide it by 2:

13,801,705 ÷ 2 = 6,900,852.5

If the quotient is a whole number, then 2 and 6,900,852.5 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 13,801,705
-1 -13,801,705

Now, we try dividing 13,801,705 by 3:

13,801,705 ÷ 3 = 4,600,568.3333

If the quotient is a whole number, then 3 and 4,600,568.3333 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 13,801,705
-1 -13,801,705

Let's try dividing by 4:

13,801,705 ÷ 4 = 3,450,426.25

If the quotient is a whole number, then 4 and 3,450,426.25 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 13,801,705
-1 13,801,705
Keep dividing by the next highest number until you cannot divide anymore.

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

1517853974091,9852,0456,7496,95333,74534,765162,373811,8652,760,34113,801,705
-1-5-17-85-397-409-1,985-2,045-6,749-6,953-33,745-34,765-162,373-811,865-2,760,341-13,801,705

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 13,801,705:


Ask a Question