Q: What are the factor combinations of the number 13,055,693?

 A:
Positive:   1 x 130556937 x 186509971 x 183883109 x 119777241 x 54173497 x 26269763 x 171111687 x 7739
Negative: -1 x -13055693-7 x -1865099-71 x -183883-109 x -119777-241 x -54173-497 x -26269-763 x -17111-1687 x -7739


How do I find the factor combinations of the number 13,055,693?

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 13,055,693, 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 13,055,693
-1 -13,055,693

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 13,055,693.

Example:
1 x 13,055,693 = 13,055,693
and
-1 x -13,055,693 = 13,055,693
Notice both answers equal 13,055,693

With that explanation out of the way, let's continue. Next, we take the number 13,055,693 and divide it by 2:

13,055,693 ÷ 2 = 6,527,846.5

If the quotient is a whole number, then 2 and 6,527,846.5 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 13,055,693
-1 -13,055,693

Now, we try dividing 13,055,693 by 3:

13,055,693 ÷ 3 = 4,351,897.6667

If the quotient is a whole number, then 3 and 4,351,897.6667 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 13,055,693
-1 -13,055,693

Let's try dividing by 4:

13,055,693 ÷ 4 = 3,263,923.25

If the quotient is a whole number, then 4 and 3,263,923.25 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 13,055,693
-1 13,055,693
Keep dividing by the next highest number until you cannot divide anymore.

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

17711092414977631,6877,73917,11126,26954,173119,777183,8831,865,09913,055,693
-1-7-71-109-241-497-763-1,687-7,739-17,111-26,269-54,173-119,777-183,883-1,865,099-13,055,693

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 13,055,693:


Ask a Question