Q: What are the factor combinations of the number 8,017,829?

 A:
Positive:   1 x 801782917 x 47163719 x 421991103 x 77843241 x 33269323 x 248231751 x 45791957 x 4097
Negative: -1 x -8017829-17 x -471637-19 x -421991-103 x -77843-241 x -33269-323 x -24823-1751 x -4579-1957 x -4097


How do I find the factor combinations of the number 8,017,829?

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 8,017,829, 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 8,017,829
-1 -8,017,829

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 8,017,829.

Example:
1 x 8,017,829 = 8,017,829
and
-1 x -8,017,829 = 8,017,829
Notice both answers equal 8,017,829

With that explanation out of the way, let's continue. Next, we take the number 8,017,829 and divide it by 2:

8,017,829 ÷ 2 = 4,008,914.5

If the quotient is a whole number, then 2 and 4,008,914.5 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 8,017,829
-1 -8,017,829

Now, we try dividing 8,017,829 by 3:

8,017,829 ÷ 3 = 2,672,609.6667

If the quotient is a whole number, then 3 and 2,672,609.6667 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 8,017,829
-1 -8,017,829

Let's try dividing by 4:

8,017,829 ÷ 4 = 2,004,457.25

If the quotient is a whole number, then 4 and 2,004,457.25 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 8,017,829
-1 8,017,829
Keep dividing by the next highest number until you cannot divide anymore.

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

117191032413231,7511,9574,0974,57924,82333,26977,843421,991471,6378,017,829
-1-17-19-103-241-323-1,751-1,957-4,097-4,579-24,823-33,269-77,843-421,991-471,637-8,017,829

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