Q: What are the factor combinations of the number 116,832,335?

 A:
Positive:   1 x 1168323355 x 2336646731 x 3768785155 x 753757157 x 744155785 x 1488314801 x 243354867 x 24005
Negative: -1 x -116832335-5 x -23366467-31 x -3768785-155 x -753757-157 x -744155-785 x -148831-4801 x -24335-4867 x -24005


How do I find the factor combinations of the number 116,832,335?

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 116,832,335, 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.

1 116,832,335
-1 -116,832,335

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 116,832,335.

Example:
1 x 116,832,335 = 116,832,335
and
-1 x -116,832,335 = 116,832,335
Notice both answers equal 116,832,335

With that explanation out of the way, let's continue. Next, we take the number 116,832,335 and divide it by 2:

116,832,335 ÷ 2 = 58,416,167.5

If the quotient is a whole number, then 2 and 58,416,167.5 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:

1 116,832,335
-1 -116,832,335

Now, we try dividing 116,832,335 by 3:

116,832,335 ÷ 3 = 38,944,111.6667

If the quotient is a whole number, then 3 and 38,944,111.6667 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:

1 116,832,335
-1 -116,832,335

Let's try dividing by 4:

116,832,335 ÷ 4 = 29,208,083.75

If the quotient is a whole number, then 4 and 29,208,083.75 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:

1 116,832,335
-1 116,832,335
Keep dividing by the next highest number until you cannot divide anymore.

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

15311551577854,8014,86724,00524,335148,831744,155753,7573,768,78523,366,467116,832,335
-1-5-31-155-157-785-4,801-4,867-24,005-24,335-148,831-744,155-753,757-3,768,785-23,366,467-116,832,335

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 116,832,335:


Ask a Question