Q: What are the factor combinations of the number 13,012,909?

 A:
Positive:   1 x 130129097 x 185898713 x 100099329 x 44872191 x 142999203 x 64103377 x 345172639 x 4931
Negative: -1 x -13012909-7 x -1858987-13 x -1000993-29 x -448721-91 x -142999-203 x -64103-377 x -34517-2639 x -4931


How do I find the factor combinations of the number 13,012,909?

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 13,012,909, 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 13,012,909
-1 -13,012,909

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 13,012,909.

Example:
1 x 13,012,909 = 13,012,909
and
-1 x -13,012,909 = 13,012,909
Notice both answers equal 13,012,909

With that explanation out of the way, let's continue. Next, we take the number 13,012,909 and divide it by 2:

13,012,909 ÷ 2 = 6,506,454.5

If the quotient is a whole number, then 2 and 6,506,454.5 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 13,012,909
-1 -13,012,909

Now, we try dividing 13,012,909 by 3:

13,012,909 ÷ 3 = 4,337,636.3333

If the quotient is a whole number, then 3 and 4,337,636.3333 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 13,012,909
-1 -13,012,909

Let's try dividing by 4:

13,012,909 ÷ 4 = 3,253,227.25

If the quotient is a whole number, then 4 and 3,253,227.25 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 13,012,909
-1 13,012,909
Keep dividing by the next highest number until you cannot divide anymore.

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

171329912033772,6394,93134,51764,103142,999448,7211,000,9931,858,98713,012,909
-1-7-13-29-91-203-377-2,639-4,931-34,517-64,103-142,999-448,721-1,000,993-1,858,987-13,012,909

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 13,012,909:


Ask a Question