Q: What are the factor combinations of the number 8,045,009?

 A:
Positive:   1 x 80450097 x 114928723 x 349783107 x 75187161 x 49969467 x 17227749 x 107412461 x 3269
Negative: -1 x -8045009-7 x -1149287-23 x -349783-107 x -75187-161 x -49969-467 x -17227-749 x -10741-2461 x -3269


How do I find the factor combinations of the number 8,045,009?

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 8,045,009, 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 8,045,009
-1 -8,045,009

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 8,045,009.

Example:
1 x 8,045,009 = 8,045,009
and
-1 x -8,045,009 = 8,045,009
Notice both answers equal 8,045,009

With that explanation out of the way, let's continue. Next, we take the number 8,045,009 and divide it by 2:

8,045,009 ÷ 2 = 4,022,504.5

If the quotient is a whole number, then 2 and 4,022,504.5 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 8,045,009
-1 -8,045,009

Now, we try dividing 8,045,009 by 3:

8,045,009 ÷ 3 = 2,681,669.6667

If the quotient is a whole number, then 3 and 2,681,669.6667 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 8,045,009
-1 -8,045,009

Let's try dividing by 4:

8,045,009 ÷ 4 = 2,011,252.25

If the quotient is a whole number, then 4 and 2,011,252.25 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 8,045,009
-1 8,045,009
Keep dividing by the next highest number until you cannot divide anymore.

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

17231071614677492,4613,26910,74117,22749,96975,187349,7831,149,2878,045,009
-1-7-23-107-161-467-749-2,461-3,269-10,741-17,227-49,969-75,187-349,783-1,149,287-8,045,009

More Examples

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