Q: What are the factor combinations of the number 13,040,545?

 A:
Positive:   1 x 130405455 x 26081097 x 186293535 x 37258767 x 19463583 x 157115335 x 38927415 x 31423469 x 27805581 x 224452345 x 55612905 x 4489
Negative: -1 x -13040545-5 x -2608109-7 x -1862935-35 x -372587-67 x -194635-83 x -157115-335 x -38927-415 x -31423-469 x -27805-581 x -22445-2345 x -5561-2905 x -4489


How do I find the factor combinations of the number 13,040,545?

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 13,040,545, 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 13,040,545
-1 -13,040,545

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 13,040,545.

Example:
1 x 13,040,545 = 13,040,545
and
-1 x -13,040,545 = 13,040,545
Notice both answers equal 13,040,545

With that explanation out of the way, let's continue. Next, we take the number 13,040,545 and divide it by 2:

13,040,545 ÷ 2 = 6,520,272.5

If the quotient is a whole number, then 2 and 6,520,272.5 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 13,040,545
-1 -13,040,545

Now, we try dividing 13,040,545 by 3:

13,040,545 ÷ 3 = 4,346,848.3333

If the quotient is a whole number, then 3 and 4,346,848.3333 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 13,040,545
-1 -13,040,545

Let's try dividing by 4:

13,040,545 ÷ 4 = 3,260,136.25

If the quotient is a whole number, then 4 and 3,260,136.25 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 13,040,545
-1 13,040,545
Keep dividing by the next highest number until you cannot divide anymore.

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

1573567833354154695812,3452,9054,4895,56122,44527,80531,42338,927157,115194,635372,5871,862,9352,608,10913,040,545
-1-5-7-35-67-83-335-415-469-581-2,345-2,905-4,489-5,561-22,445-27,805-31,423-38,927-157,115-194,635-372,587-1,862,935-2,608,109-13,040,545

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 13,040,545:


Ask a Question