Q: What are the factor combinations of the number 117,785,837?

 A:
Positive:   1 x 11778583713 x 906044937 x 3183401481 x 244877
Negative: -1 x -117785837-13 x -9060449-37 x -3183401-481 x -244877


How do I find the factor combinations of the number 117,785,837?

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 117,785,837, 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.

1 117,785,837
-1 -117,785,837

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 117,785,837.

Example:
1 x 117,785,837 = 117,785,837
and
-1 x -117,785,837 = 117,785,837
Notice both answers equal 117,785,837

With that explanation out of the way, let's continue. Next, we take the number 117,785,837 and divide it by 2:

117,785,837 ÷ 2 = 58,892,918.5

If the quotient is a whole number, then 2 and 58,892,918.5 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:

1 117,785,837
-1 -117,785,837

Now, we try dividing 117,785,837 by 3:

117,785,837 ÷ 3 = 39,261,945.6667

If the quotient is a whole number, then 3 and 39,261,945.6667 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:

1 117,785,837
-1 -117,785,837

Let's try dividing by 4:

117,785,837 ÷ 4 = 29,446,459.25

If the quotient is a whole number, then 4 and 29,446,459.25 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:

1 117,785,837
-1 117,785,837
Keep dividing by the next highest number until you cannot divide anymore.

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

11337481244,8773,183,4019,060,449117,785,837
-1-13-37-481-244,877-3,183,401-9,060,449-117,785,837

More Examples

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