Q: What are the factor combinations of the number 47,427,209?

 A:
Positive:   1 x 4742720929 x 163542153 x 89485359 x 803851523 x 906831537 x 308571711 x 277193127 x 15167
Negative: -1 x -47427209-29 x -1635421-53 x -894853-59 x -803851-523 x -90683-1537 x -30857-1711 x -27719-3127 x -15167


How do I find the factor combinations of the number 47,427,209?

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 47,427,209, 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 47,427,209
-1 -47,427,209

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 47,427,209.

Example:
1 x 47,427,209 = 47,427,209
and
-1 x -47,427,209 = 47,427,209
Notice both answers equal 47,427,209

With that explanation out of the way, let's continue. Next, we take the number 47,427,209 and divide it by 2:

47,427,209 ÷ 2 = 23,713,604.5

If the quotient is a whole number, then 2 and 23,713,604.5 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 47,427,209
-1 -47,427,209

Now, we try dividing 47,427,209 by 3:

47,427,209 ÷ 3 = 15,809,069.6667

If the quotient is a whole number, then 3 and 15,809,069.6667 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 47,427,209
-1 -47,427,209

Let's try dividing by 4:

47,427,209 ÷ 4 = 11,856,802.25

If the quotient is a whole number, then 4 and 11,856,802.25 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 47,427,209
-1 47,427,209
Keep dividing by the next highest number until you cannot divide anymore.

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

12953595231,5371,7113,12715,16727,71930,85790,683803,851894,8531,635,42147,427,209
-1-29-53-59-523-1,537-1,711-3,127-15,167-27,719-30,857-90,683-803,851-894,853-1,635,421-47,427,209

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