Q: What are the factor combinations of the number 13,055,365?

 A:
Positive:   1 x 130553655 x 261107329 x 450185145 x 90037179 x 72935503 x 25955895 x 145872515 x 5191
Negative: -1 x -13055365-5 x -2611073-29 x -450185-145 x -90037-179 x -72935-503 x -25955-895 x -14587-2515 x -5191


How do I find the factor combinations of the number 13,055,365?

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 13,055,365, 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 13,055,365
-1 -13,055,365

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 13,055,365.

Example:
1 x 13,055,365 = 13,055,365
and
-1 x -13,055,365 = 13,055,365
Notice both answers equal 13,055,365

With that explanation out of the way, let's continue. Next, we take the number 13,055,365 and divide it by 2:

13,055,365 ÷ 2 = 6,527,682.5

If the quotient is a whole number, then 2 and 6,527,682.5 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 13,055,365
-1 -13,055,365

Now, we try dividing 13,055,365 by 3:

13,055,365 ÷ 3 = 4,351,788.3333

If the quotient is a whole number, then 3 and 4,351,788.3333 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 13,055,365
-1 -13,055,365

Let's try dividing by 4:

13,055,365 ÷ 4 = 3,263,841.25

If the quotient is a whole number, then 4 and 3,263,841.25 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 13,055,365
-1 13,055,365
Keep dividing by the next highest number until you cannot divide anymore.

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

15291451795038952,5155,19114,58725,95572,93590,037450,1852,611,07313,055,365
-1-5-29-145-179-503-895-2,515-5,191-14,587-25,955-72,935-90,037-450,185-2,611,073-13,055,365

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 13,055,365:


Ask a Question