Q: What are the factor combinations of the number 801,330,187?

 A:
Positive:   1 x 8013301877 x 11447574119 x 42175273133 x 6025039367 x 21834612569 x 3119236973 x 11491916417 x 48811
Negative: -1 x -801330187-7 x -114475741-19 x -42175273-133 x -6025039-367 x -2183461-2569 x -311923-6973 x -114919-16417 x -48811


How do I find the factor combinations of the number 801,330,187?

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 801,330,187, 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.

1 801,330,187
-1 -801,330,187

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 801,330,187.

Example:
1 x 801,330,187 = 801,330,187
and
-1 x -801,330,187 = 801,330,187
Notice both answers equal 801,330,187

With that explanation out of the way, let's continue. Next, we take the number 801,330,187 and divide it by 2:

801,330,187 ÷ 2 = 400,665,093.5

If the quotient is a whole number, then 2 and 400,665,093.5 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:

1 801,330,187
-1 -801,330,187

Now, we try dividing 801,330,187 by 3:

801,330,187 ÷ 3 = 267,110,062.3333

If the quotient is a whole number, then 3 and 267,110,062.3333 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:

1 801,330,187
-1 -801,330,187

Let's try dividing by 4:

801,330,187 ÷ 4 = 200,332,546.75

If the quotient is a whole number, then 4 and 200,332,546.75 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:

1 801,330,187
-1 801,330,187
Keep dividing by the next highest number until you cannot divide anymore.

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

17191333672,5696,97316,41748,811114,919311,9232,183,4616,025,03942,175,273114,475,741801,330,187
-1-7-19-133-367-2,569-6,973-16,417-48,811-114,919-311,923-2,183,461-6,025,039-42,175,273-114,475,741-801,330,187

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