Q: What are the factor combinations of the number 8,794,013?

 A:
Positive:   1 x 8794013163 x 53951
Negative: -1 x -8794013-163 x -53951


How do I find the factor combinations of the number 8,794,013?

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 8,794,013, 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 8,794,013
-1 -8,794,013

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 8,794,013.

Example:
1 x 8,794,013 = 8,794,013
and
-1 x -8,794,013 = 8,794,013
Notice both answers equal 8,794,013

With that explanation out of the way, let's continue. Next, we take the number 8,794,013 and divide it by 2:

8,794,013 ÷ 2 = 4,397,006.5

If the quotient is a whole number, then 2 and 4,397,006.5 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 8,794,013
-1 -8,794,013

Now, we try dividing 8,794,013 by 3:

8,794,013 ÷ 3 = 2,931,337.6667

If the quotient is a whole number, then 3 and 2,931,337.6667 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 8,794,013
-1 -8,794,013

Let's try dividing by 4:

8,794,013 ÷ 4 = 2,198,503.25

If the quotient is a whole number, then 4 and 2,198,503.25 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 8,794,013
-1 8,794,013
Keep dividing by the next highest number until you cannot divide anymore.

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

116353,9518,794,013
-1-163-53,951-8,794,013

More Examples

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