Q: What are the factor combinations of the number 9,799,231?

 A:
Positive:   1 x 979923113 x 75378719 x 51574997 x 101023247 x 39673409 x 239591261 x 77711843 x 5317
Negative: -1 x -9799231-13 x -753787-19 x -515749-97 x -101023-247 x -39673-409 x -23959-1261 x -7771-1843 x -5317


How do I find the factor combinations of the number 9,799,231?

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 9,799,231, 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 9,799,231
-1 -9,799,231

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 9,799,231.

Example:
1 x 9,799,231 = 9,799,231
and
-1 x -9,799,231 = 9,799,231
Notice both answers equal 9,799,231

With that explanation out of the way, let's continue. Next, we take the number 9,799,231 and divide it by 2:

9,799,231 ÷ 2 = 4,899,615.5

If the quotient is a whole number, then 2 and 4,899,615.5 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 9,799,231
-1 -9,799,231

Now, we try dividing 9,799,231 by 3:

9,799,231 ÷ 3 = 3,266,410.3333

If the quotient is a whole number, then 3 and 3,266,410.3333 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 9,799,231
-1 -9,799,231

Let's try dividing by 4:

9,799,231 ÷ 4 = 2,449,807.75

If the quotient is a whole number, then 4 and 2,449,807.75 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 9,799,231
-1 9,799,231
Keep dividing by the next highest number until you cannot divide anymore.

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

11319972474091,2611,8435,3177,77123,95939,673101,023515,749753,7879,799,231
-1-13-19-97-247-409-1,261-1,843-5,317-7,771-23,959-39,673-101,023-515,749-753,787-9,799,231

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