Q: What are the factor combinations of the number 475,066,709?

 A:
Positive:   1 x 47506670913 x 3654359319 x 2500351143 x 11048063247 x 1923347559 x 849851817 x 58147710621 x 44729
Negative: -1 x -475066709-13 x -36543593-19 x -25003511-43 x -11048063-247 x -1923347-559 x -849851-817 x -581477-10621 x -44729


How do I find the factor combinations of the number 475,066,709?

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 475,066,709, 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.

1 475,066,709
-1 -475,066,709

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 475,066,709.

Example:
1 x 475,066,709 = 475,066,709
and
-1 x -475,066,709 = 475,066,709
Notice both answers equal 475,066,709

With that explanation out of the way, let's continue. Next, we take the number 475,066,709 and divide it by 2:

475,066,709 ÷ 2 = 237,533,354.5

If the quotient is a whole number, then 2 and 237,533,354.5 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:

1 475,066,709
-1 -475,066,709

Now, we try dividing 475,066,709 by 3:

475,066,709 ÷ 3 = 158,355,569.6667

If the quotient is a whole number, then 3 and 158,355,569.6667 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:

1 475,066,709
-1 -475,066,709

Let's try dividing by 4:

475,066,709 ÷ 4 = 118,766,677.25

If the quotient is a whole number, then 4 and 118,766,677.25 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:

1 475,066,709
-1 475,066,709
Keep dividing by the next highest number until you cannot divide anymore.

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

113194324755981710,62144,729581,477849,8511,923,34711,048,06325,003,51136,543,593475,066,709
-1-13-19-43-247-559-817-10,621-44,729-581,477-849,851-1,923,347-11,048,063-25,003,511-36,543,593-475,066,709

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