Q: What are the factor combinations of the number 13,440,665?

 A:
Positive:   1 x 134406655 x 26881337 x 192009535 x 38401979 x 170135395 x 34027553 x 243052765 x 4861
Negative: -1 x -13440665-5 x -2688133-7 x -1920095-35 x -384019-79 x -170135-395 x -34027-553 x -24305-2765 x -4861


How do I find the factor combinations of the number 13,440,665?

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 13,440,665, 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 13,440,665
-1 -13,440,665

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 13,440,665.

Example:
1 x 13,440,665 = 13,440,665
and
-1 x -13,440,665 = 13,440,665
Notice both answers equal 13,440,665

With that explanation out of the way, let's continue. Next, we take the number 13,440,665 and divide it by 2:

13,440,665 ÷ 2 = 6,720,332.5

If the quotient is a whole number, then 2 and 6,720,332.5 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 13,440,665
-1 -13,440,665

Now, we try dividing 13,440,665 by 3:

13,440,665 ÷ 3 = 4,480,221.6667

If the quotient is a whole number, then 3 and 4,480,221.6667 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 13,440,665
-1 -13,440,665

Let's try dividing by 4:

13,440,665 ÷ 4 = 3,360,166.25

If the quotient is a whole number, then 4 and 3,360,166.25 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 13,440,665
-1 13,440,665
Keep dividing by the next highest number until you cannot divide anymore.

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

15735793955532,7654,86124,30534,027170,135384,0191,920,0952,688,13313,440,665
-1-5-7-35-79-395-553-2,765-4,861-24,305-34,027-170,135-384,019-1,920,095-2,688,133-13,440,665

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 13,440,665:


Ask a Question