Q: What are the factor combinations of the number 43,350,331?

 A:
Positive:   1 x 4335033123 x 188479729 x 1494839103 x 420877631 x 68701667 x 649932369 x 182992987 x 14513
Negative: -1 x -43350331-23 x -1884797-29 x -1494839-103 x -420877-631 x -68701-667 x -64993-2369 x -18299-2987 x -14513


How do I find the factor combinations of the number 43,350,331?

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 43,350,331, 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 43,350,331
-1 -43,350,331

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 43,350,331.

Example:
1 x 43,350,331 = 43,350,331
and
-1 x -43,350,331 = 43,350,331
Notice both answers equal 43,350,331

With that explanation out of the way, let's continue. Next, we take the number 43,350,331 and divide it by 2:

43,350,331 ÷ 2 = 21,675,165.5

If the quotient is a whole number, then 2 and 21,675,165.5 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 43,350,331
-1 -43,350,331

Now, we try dividing 43,350,331 by 3:

43,350,331 ÷ 3 = 14,450,110.3333

If the quotient is a whole number, then 3 and 14,450,110.3333 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 43,350,331
-1 -43,350,331

Let's try dividing by 4:

43,350,331 ÷ 4 = 10,837,582.75

If the quotient is a whole number, then 4 and 10,837,582.75 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 43,350,331
-1 43,350,331
Keep dividing by the next highest number until you cannot divide anymore.

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

123291036316672,3692,98714,51318,29964,99368,701420,8771,494,8391,884,79743,350,331
-1-23-29-103-631-667-2,369-2,987-14,513-18,299-64,993-68,701-420,877-1,494,839-1,884,797-43,350,331

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 43,350,331:


Ask a Question