Q: What are the factor combinations of the number 8,384,123?

 A:
Positive:   1 x 838412311 x 76219353 x 15819173 x 114851197 x 42559583 x 14381803 x 104412167 x 3869
Negative: -1 x -8384123-11 x -762193-53 x -158191-73 x -114851-197 x -42559-583 x -14381-803 x -10441-2167 x -3869


How do I find the factor combinations of the number 8,384,123?

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 8,384,123, 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 8,384,123
-1 -8,384,123

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 8,384,123.

Example:
1 x 8,384,123 = 8,384,123
and
-1 x -8,384,123 = 8,384,123
Notice both answers equal 8,384,123

With that explanation out of the way, let's continue. Next, we take the number 8,384,123 and divide it by 2:

8,384,123 ÷ 2 = 4,192,061.5

If the quotient is a whole number, then 2 and 4,192,061.5 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 8,384,123
-1 -8,384,123

Now, we try dividing 8,384,123 by 3:

8,384,123 ÷ 3 = 2,794,707.6667

If the quotient is a whole number, then 3 and 2,794,707.6667 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 8,384,123
-1 -8,384,123

Let's try dividing by 4:

8,384,123 ÷ 4 = 2,096,030.75

If the quotient is a whole number, then 4 and 2,096,030.75 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 8,384,123
-1 8,384,123
Keep dividing by the next highest number until you cannot divide anymore.

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

11153731975838032,1673,86910,44114,38142,559114,851158,191762,1938,384,123
-1-11-53-73-197-583-803-2,167-3,869-10,441-14,381-42,559-114,851-158,191-762,193-8,384,123

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