Q: What are the factor combinations of the number 228,671,443?

 A:
Positive:   1 x 2286714437 x 3266734911 x 2078831313 x 1759011177 x 296975991 x 2512873143 x 15991011001 x 228443
Negative: -1 x -228671443-7 x -32667349-11 x -20788313-13 x -17590111-77 x -2969759-91 x -2512873-143 x -1599101-1001 x -228443


How do I find the factor combinations of the number 228,671,443?

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 228,671,443, 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.

1 228,671,443
-1 -228,671,443

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 228,671,443.

Example:
1 x 228,671,443 = 228,671,443
and
-1 x -228,671,443 = 228,671,443
Notice both answers equal 228,671,443

With that explanation out of the way, let's continue. Next, we take the number 228,671,443 and divide it by 2:

228,671,443 ÷ 2 = 114,335,721.5

If the quotient is a whole number, then 2 and 114,335,721.5 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:

1 228,671,443
-1 -228,671,443

Now, we try dividing 228,671,443 by 3:

228,671,443 ÷ 3 = 76,223,814.3333

If the quotient is a whole number, then 3 and 76,223,814.3333 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:

1 228,671,443
-1 -228,671,443

Let's try dividing by 4:

228,671,443 ÷ 4 = 57,167,860.75

If the quotient is a whole number, then 4 and 57,167,860.75 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:

1 228,671,443
-1 228,671,443
Keep dividing by the next highest number until you cannot divide anymore.

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

17111377911431,001228,4431,599,1012,512,8732,969,75917,590,11120,788,31332,667,349228,671,443
-1-7-11-13-77-91-143-1,001-228,443-1,599,101-2,512,873-2,969,759-17,590,111-20,788,313-32,667,349-228,671,443

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 228,671,443:


Ask a Question