Q: What are the factor combinations of the number 47,504,135?

 A:
Positive:   1 x 475041355 x 95008277 x 678630535 x 1357261349 x 1361151745 x 272232443 x 194453889 x 12215
Negative: -1 x -47504135-5 x -9500827-7 x -6786305-35 x -1357261-349 x -136115-1745 x -27223-2443 x -19445-3889 x -12215


How do I find the factor combinations of the number 47,504,135?

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 47,504,135, 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 47,504,135
-1 -47,504,135

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 47,504,135.

Example:
1 x 47,504,135 = 47,504,135
and
-1 x -47,504,135 = 47,504,135
Notice both answers equal 47,504,135

With that explanation out of the way, let's continue. Next, we take the number 47,504,135 and divide it by 2:

47,504,135 ÷ 2 = 23,752,067.5

If the quotient is a whole number, then 2 and 23,752,067.5 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 47,504,135
-1 -47,504,135

Now, we try dividing 47,504,135 by 3:

47,504,135 ÷ 3 = 15,834,711.6667

If the quotient is a whole number, then 3 and 15,834,711.6667 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 47,504,135
-1 -47,504,135

Let's try dividing by 4:

47,504,135 ÷ 4 = 11,876,033.75

If the quotient is a whole number, then 4 and 11,876,033.75 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 47,504,135
-1 47,504,135
Keep dividing by the next highest number until you cannot divide anymore.

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

157353491,7452,4433,88912,21519,44527,223136,1151,357,2616,786,3059,500,82747,504,135
-1-5-7-35-349-1,745-2,443-3,889-12,215-19,445-27,223-136,115-1,357,261-6,786,305-9,500,827-47,504,135

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