Q: What are the factor combinations of the number 20,627,005?

 A:
Positive:   1 x 206270055 x 41254017 x 294671535 x 589343167 x 123515835 x 247031169 x 176453529 x 5845
Negative: -1 x -20627005-5 x -4125401-7 x -2946715-35 x -589343-167 x -123515-835 x -24703-1169 x -17645-3529 x -5845


How do I find the factor combinations of the number 20,627,005?

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 20,627,005, 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 20,627,005
-1 -20,627,005

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 20,627,005.

Example:
1 x 20,627,005 = 20,627,005
and
-1 x -20,627,005 = 20,627,005
Notice both answers equal 20,627,005

With that explanation out of the way, let's continue. Next, we take the number 20,627,005 and divide it by 2:

20,627,005 ÷ 2 = 10,313,502.5

If the quotient is a whole number, then 2 and 10,313,502.5 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 20,627,005
-1 -20,627,005

Now, we try dividing 20,627,005 by 3:

20,627,005 ÷ 3 = 6,875,668.3333

If the quotient is a whole number, then 3 and 6,875,668.3333 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 20,627,005
-1 -20,627,005

Let's try dividing by 4:

20,627,005 ÷ 4 = 5,156,751.25

If the quotient is a whole number, then 4 and 5,156,751.25 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 20,627,005
-1 20,627,005
Keep dividing by the next highest number until you cannot divide anymore.

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

157351678351,1693,5295,84517,64524,703123,515589,3432,946,7154,125,40120,627,005
-1-5-7-35-167-835-1,169-3,529-5,845-17,645-24,703-123,515-589,343-2,946,715-4,125,401-20,627,005

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