Q: What are the factor combinations of the number 43,543,709?

 A:
Positive:   1 x 4354370911 x 395851937 x 117685783 x 524623407 x 106987913 x 476931289 x 337813071 x 14179
Negative: -1 x -43543709-11 x -3958519-37 x -1176857-83 x -524623-407 x -106987-913 x -47693-1289 x -33781-3071 x -14179


How do I find the factor combinations of the number 43,543,709?

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 43,543,709, 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 43,543,709
-1 -43,543,709

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 43,543,709.

Example:
1 x 43,543,709 = 43,543,709
and
-1 x -43,543,709 = 43,543,709
Notice both answers equal 43,543,709

With that explanation out of the way, let's continue. Next, we take the number 43,543,709 and divide it by 2:

43,543,709 ÷ 2 = 21,771,854.5

If the quotient is a whole number, then 2 and 21,771,854.5 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 43,543,709
-1 -43,543,709

Now, we try dividing 43,543,709 by 3:

43,543,709 ÷ 3 = 14,514,569.6667

If the quotient is a whole number, then 3 and 14,514,569.6667 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 43,543,709
-1 -43,543,709

Let's try dividing by 4:

43,543,709 ÷ 4 = 10,885,927.25

If the quotient is a whole number, then 4 and 10,885,927.25 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 43,543,709
-1 43,543,709
Keep dividing by the next highest number until you cannot divide anymore.

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

11137834079131,2893,07114,17933,78147,693106,987524,6231,176,8573,958,51943,543,709
-1-11-37-83-407-913-1,289-3,071-14,179-33,781-47,693-106,987-524,623-1,176,857-3,958,519-43,543,709

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 43,543,709:


Ask a Question