Q: What are the factor combinations of the number 5,027,005?

 A:
Positive:   1 x 50270055 x 100540129 x 17334537 x 135865145 x 34669185 x 27173937 x 53651073 x 4685
Negative: -1 x -5027005-5 x -1005401-29 x -173345-37 x -135865-145 x -34669-185 x -27173-937 x -5365-1073 x -4685


How do I find the factor combinations of the number 5,027,005?

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 5,027,005, 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 5,027,005
-1 -5,027,005

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 5,027,005.

Example:
1 x 5,027,005 = 5,027,005
and
-1 x -5,027,005 = 5,027,005
Notice both answers equal 5,027,005

With that explanation out of the way, let's continue. Next, we take the number 5,027,005 and divide it by 2:

5,027,005 ÷ 2 = 2,513,502.5

If the quotient is a whole number, then 2 and 2,513,502.5 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 5,027,005
-1 -5,027,005

Now, we try dividing 5,027,005 by 3:

5,027,005 ÷ 3 = 1,675,668.3333

If the quotient is a whole number, then 3 and 1,675,668.3333 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 5,027,005
-1 -5,027,005

Let's try dividing by 4:

5,027,005 ÷ 4 = 1,256,751.25

If the quotient is a whole number, then 4 and 1,256,751.25 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 5,027,005
-1 5,027,005
Keep dividing by the next highest number until you cannot divide anymore.

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

1529371451859371,0734,6855,36527,17334,669135,865173,3451,005,4015,027,005
-1-5-29-37-145-185-937-1,073-4,685-5,365-27,173-34,669-135,865-173,345-1,005,401-5,027,005

More Examples

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