Q: What are the factor combinations of the number 271,027,285?

 A:
Positive:   1 x 2710272855 x 5420545723 x 11783795115 x 2356759887 x 3055552657 x 1020054435 x 6111113285 x 20401
Negative: -1 x -271027285-5 x -54205457-23 x -11783795-115 x -2356759-887 x -305555-2657 x -102005-4435 x -61111-13285 x -20401


How do I find the factor combinations of the number 271,027,285?

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 271,027,285, 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.

1 271,027,285
-1 -271,027,285

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 271,027,285.

Example:
1 x 271,027,285 = 271,027,285
and
-1 x -271,027,285 = 271,027,285
Notice both answers equal 271,027,285

With that explanation out of the way, let's continue. Next, we take the number 271,027,285 and divide it by 2:

271,027,285 ÷ 2 = 135,513,642.5

If the quotient is a whole number, then 2 and 135,513,642.5 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:

1 271,027,285
-1 -271,027,285

Now, we try dividing 271,027,285 by 3:

271,027,285 ÷ 3 = 90,342,428.3333

If the quotient is a whole number, then 3 and 90,342,428.3333 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:

1 271,027,285
-1 -271,027,285

Let's try dividing by 4:

271,027,285 ÷ 4 = 67,756,821.25

If the quotient is a whole number, then 4 and 67,756,821.25 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:

1 271,027,285
-1 271,027,285
Keep dividing by the next highest number until you cannot divide anymore.

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

15231158872,6574,43513,28520,40161,111102,005305,5552,356,75911,783,79554,205,457271,027,285
-1-5-23-115-887-2,657-4,435-13,285-20,401-61,111-102,005-305,555-2,356,759-11,783,795-54,205,457-271,027,285

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