Q: What are the factor combinations of the number 231,113,443?

 A:
Positive:   1 x 23111344311 x 2101031353 x 436063159 x 3917177583 x 396421649 x 3561073127 x 739096719 x 34397
Negative: -1 x -231113443-11 x -21010313-53 x -4360631-59 x -3917177-583 x -396421-649 x -356107-3127 x -73909-6719 x -34397


How do I find the factor combinations of the number 231,113,443?

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 231,113,443, 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.

1 231,113,443
-1 -231,113,443

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 231,113,443.

Example:
1 x 231,113,443 = 231,113,443
and
-1 x -231,113,443 = 231,113,443
Notice both answers equal 231,113,443

With that explanation out of the way, let's continue. Next, we take the number 231,113,443 and divide it by 2:

231,113,443 ÷ 2 = 115,556,721.5

If the quotient is a whole number, then 2 and 115,556,721.5 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:

1 231,113,443
-1 -231,113,443

Now, we try dividing 231,113,443 by 3:

231,113,443 ÷ 3 = 77,037,814.3333

If the quotient is a whole number, then 3 and 77,037,814.3333 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:

1 231,113,443
-1 -231,113,443

Let's try dividing by 4:

231,113,443 ÷ 4 = 57,778,360.75

If the quotient is a whole number, then 4 and 57,778,360.75 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:

1 231,113,443
-1 231,113,443
Keep dividing by the next highest number until you cannot divide anymore.

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

11153595836493,1276,71934,39773,909356,107396,4213,917,1774,360,63121,010,313231,113,443
-1-11-53-59-583-649-3,127-6,719-34,397-73,909-356,107-396,421-3,917,177-4,360,631-21,010,313-231,113,443

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 231,113,443:


Ask a Question