Q: What are the factor combinations of the number 471,612,089?

 A:
Positive:   1 x 47161208913 x 3627785343 x 10967723449 x 1050361559 x 8436711879 x 2509915837 x 8079719307 x 24427
Negative: -1 x -471612089-13 x -36277853-43 x -10967723-449 x -1050361-559 x -843671-1879 x -250991-5837 x -80797-19307 x -24427


How do I find the factor combinations of the number 471,612,089?

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 471,612,089, 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.

1 471,612,089
-1 -471,612,089

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 471,612,089.

Example:
1 x 471,612,089 = 471,612,089
and
-1 x -471,612,089 = 471,612,089
Notice both answers equal 471,612,089

With that explanation out of the way, let's continue. Next, we take the number 471,612,089 and divide it by 2:

471,612,089 ÷ 2 = 235,806,044.5

If the quotient is a whole number, then 2 and 235,806,044.5 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:

1 471,612,089
-1 -471,612,089

Now, we try dividing 471,612,089 by 3:

471,612,089 ÷ 3 = 157,204,029.6667

If the quotient is a whole number, then 3 and 157,204,029.6667 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:

1 471,612,089
-1 -471,612,089

Let's try dividing by 4:

471,612,089 ÷ 4 = 117,903,022.25

If the quotient is a whole number, then 4 and 117,903,022.25 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:

1 471,612,089
-1 471,612,089
Keep dividing by the next highest number until you cannot divide anymore.

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

113434495591,8795,83719,30724,42780,797250,991843,6711,050,36110,967,72336,277,853471,612,089
-1-13-43-449-559-1,879-5,837-19,307-24,427-80,797-250,991-843,671-1,050,361-10,967,723-36,277,853-471,612,089

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