Q: What are the factor combinations of the number 8,044,745?

 A:
Positive:   1 x 80447455 x 160894929 x 277405109 x 73805145 x 55481509 x 15805545 x 147612545 x 3161
Negative: -1 x -8044745-5 x -1608949-29 x -277405-109 x -73805-145 x -55481-509 x -15805-545 x -14761-2545 x -3161


How do I find the factor combinations of the number 8,044,745?

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 8,044,745, 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 8,044,745
-1 -8,044,745

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 8,044,745.

Example:
1 x 8,044,745 = 8,044,745
and
-1 x -8,044,745 = 8,044,745
Notice both answers equal 8,044,745

With that explanation out of the way, let's continue. Next, we take the number 8,044,745 and divide it by 2:

8,044,745 ÷ 2 = 4,022,372.5

If the quotient is a whole number, then 2 and 4,022,372.5 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 8,044,745
-1 -8,044,745

Now, we try dividing 8,044,745 by 3:

8,044,745 ÷ 3 = 2,681,581.6667

If the quotient is a whole number, then 3 and 2,681,581.6667 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 8,044,745
-1 -8,044,745

Let's try dividing by 4:

8,044,745 ÷ 4 = 2,011,186.25

If the quotient is a whole number, then 4 and 2,011,186.25 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 8,044,745
-1 8,044,745
Keep dividing by the next highest number until you cannot divide anymore.

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

15291091455095452,5453,16114,76115,80555,48173,805277,4051,608,9498,044,745
-1-5-29-109-145-509-545-2,545-3,161-14,761-15,805-55,481-73,805-277,405-1,608,949-8,044,745

More Examples

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