Q: What are the factor combinations of the number 137,711,855?

 A:
Positive:   1 x 1377118555 x 27542371811 x 1698054055 x 33961
Negative: -1 x -137711855-5 x -27542371-811 x -169805-4055 x -33961


How do I find the factor combinations of the number 137,711,855?

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 137,711,855, 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.

1 137,711,855
-1 -137,711,855

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 137,711,855.

Example:
1 x 137,711,855 = 137,711,855
and
-1 x -137,711,855 = 137,711,855
Notice both answers equal 137,711,855

With that explanation out of the way, let's continue. Next, we take the number 137,711,855 and divide it by 2:

137,711,855 ÷ 2 = 68,855,927.5

If the quotient is a whole number, then 2 and 68,855,927.5 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:

1 137,711,855
-1 -137,711,855

Now, we try dividing 137,711,855 by 3:

137,711,855 ÷ 3 = 45,903,951.6667

If the quotient is a whole number, then 3 and 45,903,951.6667 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:

1 137,711,855
-1 -137,711,855

Let's try dividing by 4:

137,711,855 ÷ 4 = 34,427,963.75

If the quotient is a whole number, then 4 and 34,427,963.75 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:

1 137,711,855
-1 137,711,855
Keep dividing by the next highest number until you cannot divide anymore.

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

158114,05533,961169,80527,542,371137,711,855
-1-5-811-4,055-33,961-169,805-27,542,371-137,711,855

More Examples

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