Q: What are the factor combinations of the number 271,043,135?

 A:
Positive:   1 x 2710431355 x 5420862711 x 2464028529 x 934631555 x 4928057145 x 1869263319 x 8496651595 x 169933
Negative: -1 x -271043135-5 x -54208627-11 x -24640285-29 x -9346315-55 x -4928057-145 x -1869263-319 x -849665-1595 x -169933


How do I find the factor combinations of the number 271,043,135?

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 271,043,135, 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.

1 271,043,135
-1 -271,043,135

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 271,043,135.

Example:
1 x 271,043,135 = 271,043,135
and
-1 x -271,043,135 = 271,043,135
Notice both answers equal 271,043,135

With that explanation out of the way, let's continue. Next, we take the number 271,043,135 and divide it by 2:

271,043,135 ÷ 2 = 135,521,567.5

If the quotient is a whole number, then 2 and 135,521,567.5 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:

1 271,043,135
-1 -271,043,135

Now, we try dividing 271,043,135 by 3:

271,043,135 ÷ 3 = 90,347,711.6667

If the quotient is a whole number, then 3 and 90,347,711.6667 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:

1 271,043,135
-1 -271,043,135

Let's try dividing by 4:

271,043,135 ÷ 4 = 67,760,783.75

If the quotient is a whole number, then 4 and 67,760,783.75 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:

1 271,043,135
-1 271,043,135
Keep dividing by the next highest number until you cannot divide anymore.

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

151129551453191,595169,933849,6651,869,2634,928,0579,346,31524,640,28554,208,627271,043,135
-1-5-11-29-55-145-319-1,595-169,933-849,665-1,869,263-4,928,057-9,346,315-24,640,285-54,208,627-271,043,135

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