Q: What are the factor combinations of the number 270,070,277?

 A:
Positive:   1 x 270070277373 x 724049499 x 5412231451 x 186127
Negative: -1 x -270070277-373 x -724049-499 x -541223-1451 x -186127


How do I find the factor combinations of the number 270,070,277?

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 270,070,277, 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.

1 270,070,277
-1 -270,070,277

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 270,070,277.

Example:
1 x 270,070,277 = 270,070,277
and
-1 x -270,070,277 = 270,070,277
Notice both answers equal 270,070,277

With that explanation out of the way, let's continue. Next, we take the number 270,070,277 and divide it by 2:

270,070,277 ÷ 2 = 135,035,138.5

If the quotient is a whole number, then 2 and 135,035,138.5 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:

1 270,070,277
-1 -270,070,277

Now, we try dividing 270,070,277 by 3:

270,070,277 ÷ 3 = 90,023,425.6667

If the quotient is a whole number, then 3 and 90,023,425.6667 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:

1 270,070,277
-1 -270,070,277

Let's try dividing by 4:

270,070,277 ÷ 4 = 67,517,569.25

If the quotient is a whole number, then 4 and 67,517,569.25 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:

1 270,070,277
-1 270,070,277
Keep dividing by the next highest number until you cannot divide anymore.

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

13734991,451186,127541,223724,049270,070,277
-1-373-499-1,451-186,127-541,223-724,049-270,070,277

More Examples

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