Q: What are the factor combinations of the number 13,710,739?

 A:
Positive:   1 x 137107397 x 195867749 x 27981171 x 193109343 x 39973497 x 27587563 x 243533479 x 3941
Negative: -1 x -13710739-7 x -1958677-49 x -279811-71 x -193109-343 x -39973-497 x -27587-563 x -24353-3479 x -3941


How do I find the factor combinations of the number 13,710,739?

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 13,710,739, 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 13,710,739
-1 -13,710,739

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 13,710,739.

Example:
1 x 13,710,739 = 13,710,739
and
-1 x -13,710,739 = 13,710,739
Notice both answers equal 13,710,739

With that explanation out of the way, let's continue. Next, we take the number 13,710,739 and divide it by 2:

13,710,739 ÷ 2 = 6,855,369.5

If the quotient is a whole number, then 2 and 6,855,369.5 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 13,710,739
-1 -13,710,739

Now, we try dividing 13,710,739 by 3:

13,710,739 ÷ 3 = 4,570,246.3333

If the quotient is a whole number, then 3 and 4,570,246.3333 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 13,710,739
-1 -13,710,739

Let's try dividing by 4:

13,710,739 ÷ 4 = 3,427,684.75

If the quotient is a whole number, then 4 and 3,427,684.75 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 13,710,739
-1 13,710,739
Keep dividing by the next highest number until you cannot divide anymore.

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

1749713434975633,4793,94124,35327,58739,973193,109279,8111,958,67713,710,739
-1-7-49-71-343-497-563-3,479-3,941-24,353-27,587-39,973-193,109-279,811-1,958,677-13,710,739

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 13,710,739:


Ask a Question