Q: What are the factor combinations of the number 43,307,891?

 A:
Positive:   1 x 4330789111 x 393708117 x 2547523101 x 428791187 x 2315931111 x 389811717 x 252232293 x 18887
Negative: -1 x -43307891-11 x -3937081-17 x -2547523-101 x -428791-187 x -231593-1111 x -38981-1717 x -25223-2293 x -18887


How do I find the factor combinations of the number 43,307,891?

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 43,307,891, 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 43,307,891
-1 -43,307,891

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 43,307,891.

Example:
1 x 43,307,891 = 43,307,891
and
-1 x -43,307,891 = 43,307,891
Notice both answers equal 43,307,891

With that explanation out of the way, let's continue. Next, we take the number 43,307,891 and divide it by 2:

43,307,891 ÷ 2 = 21,653,945.5

If the quotient is a whole number, then 2 and 21,653,945.5 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 43,307,891
-1 -43,307,891

Now, we try dividing 43,307,891 by 3:

43,307,891 ÷ 3 = 14,435,963.6667

If the quotient is a whole number, then 3 and 14,435,963.6667 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 43,307,891
-1 -43,307,891

Let's try dividing by 4:

43,307,891 ÷ 4 = 10,826,972.75

If the quotient is a whole number, then 4 and 10,826,972.75 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 43,307,891
-1 43,307,891
Keep dividing by the next highest number until you cannot divide anymore.

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

111171011871,1111,7172,29318,88725,22338,981231,593428,7912,547,5233,937,08143,307,891
-1-11-17-101-187-1,111-1,717-2,293-18,887-25,223-38,981-231,593-428,791-2,547,523-3,937,081-43,307,891

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