Q: What are the factor combinations of the number 270,571,427?

 A:
Positive:   1 x 2705714277 x 386530611877 x 14415113139 x 20593
Negative: -1 x -270571427-7 x -38653061-1877 x -144151-13139 x -20593


How do I find the factor combinations of the number 270,571,427?

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 270,571,427, 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.

1 270,571,427
-1 -270,571,427

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 270,571,427.

Example:
1 x 270,571,427 = 270,571,427
and
-1 x -270,571,427 = 270,571,427
Notice both answers equal 270,571,427

With that explanation out of the way, let's continue. Next, we take the number 270,571,427 and divide it by 2:

270,571,427 ÷ 2 = 135,285,713.5

If the quotient is a whole number, then 2 and 135,285,713.5 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:

1 270,571,427
-1 -270,571,427

Now, we try dividing 270,571,427 by 3:

270,571,427 ÷ 3 = 90,190,475.6667

If the quotient is a whole number, then 3 and 90,190,475.6667 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:

1 270,571,427
-1 -270,571,427

Let's try dividing by 4:

270,571,427 ÷ 4 = 67,642,856.75

If the quotient is a whole number, then 4 and 67,642,856.75 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:

1 270,571,427
-1 270,571,427
Keep dividing by the next highest number until you cannot divide anymore.

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

171,87713,13920,593144,15138,653,061270,571,427
-1-7-1,877-13,139-20,593-144,151-38,653,061-270,571,427

More Examples

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