Q: What are the factor combinations of the number 13,779,733?

 A:
Positive:   1 x 1377973311 x 125270379 x 174427101 x 136433157 x 87769869 x 158571111 x 124031727 x 7979
Negative: -1 x -13779733-11 x -1252703-79 x -174427-101 x -136433-157 x -87769-869 x -15857-1111 x -12403-1727 x -7979


How do I find the factor combinations of the number 13,779,733?

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 13,779,733, 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 13,779,733
-1 -13,779,733

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 13,779,733.

Example:
1 x 13,779,733 = 13,779,733
and
-1 x -13,779,733 = 13,779,733
Notice both answers equal 13,779,733

With that explanation out of the way, let's continue. Next, we take the number 13,779,733 and divide it by 2:

13,779,733 ÷ 2 = 6,889,866.5

If the quotient is a whole number, then 2 and 6,889,866.5 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 13,779,733
-1 -13,779,733

Now, we try dividing 13,779,733 by 3:

13,779,733 ÷ 3 = 4,593,244.3333

If the quotient is a whole number, then 3 and 4,593,244.3333 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 13,779,733
-1 -13,779,733

Let's try dividing by 4:

13,779,733 ÷ 4 = 3,444,933.25

If the quotient is a whole number, then 4 and 3,444,933.25 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 13,779,733
-1 13,779,733
Keep dividing by the next highest number until you cannot divide anymore.

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

111791011578691,1111,7277,97912,40315,85787,769136,433174,4271,252,70313,779,733
-1-11-79-101-157-869-1,111-1,727-7,979-12,403-15,857-87,769-136,433-174,427-1,252,703-13,779,733

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 13,779,733:


Ask a Question