Q: What are the factor combinations of the number 47,321,599?

 A:
Positive:   1 x 4732159913 x 364012359 x 802061103 x 459433599 x 79001767 x 616971339 x 353416077 x 7787
Negative: -1 x -47321599-13 x -3640123-59 x -802061-103 x -459433-599 x -79001-767 x -61697-1339 x -35341-6077 x -7787


How do I find the factor combinations of the number 47,321,599?

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 47,321,599, 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 47,321,599
-1 -47,321,599

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 47,321,599.

Example:
1 x 47,321,599 = 47,321,599
and
-1 x -47,321,599 = 47,321,599
Notice both answers equal 47,321,599

With that explanation out of the way, let's continue. Next, we take the number 47,321,599 and divide it by 2:

47,321,599 ÷ 2 = 23,660,799.5

If the quotient is a whole number, then 2 and 23,660,799.5 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 47,321,599
-1 -47,321,599

Now, we try dividing 47,321,599 by 3:

47,321,599 ÷ 3 = 15,773,866.3333

If the quotient is a whole number, then 3 and 15,773,866.3333 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 47,321,599
-1 -47,321,599

Let's try dividing by 4:

47,321,599 ÷ 4 = 11,830,399.75

If the quotient is a whole number, then 4 and 11,830,399.75 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 47,321,599
-1 47,321,599
Keep dividing by the next highest number until you cannot divide anymore.

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

113591035997671,3396,0777,78735,34161,69779,001459,433802,0613,640,12347,321,599
-1-13-59-103-599-767-1,339-6,077-7,787-35,341-61,697-79,001-459,433-802,061-3,640,123-47,321,599

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