Q: What are the factor combinations of the number 127,108,423?

 A:
Positive:   1 x 12710842313 x 977757119 x 6689917227 x 559949247 x 5146092267 x 560692951 x 430734313 x 29471
Negative: -1 x -127108423-13 x -9777571-19 x -6689917-227 x -559949-247 x -514609-2267 x -56069-2951 x -43073-4313 x -29471


How do I find the factor combinations of the number 127,108,423?

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 127,108,423, 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.

1 127,108,423
-1 -127,108,423

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 127,108,423.

Example:
1 x 127,108,423 = 127,108,423
and
-1 x -127,108,423 = 127,108,423
Notice both answers equal 127,108,423

With that explanation out of the way, let's continue. Next, we take the number 127,108,423 and divide it by 2:

127,108,423 ÷ 2 = 63,554,211.5

If the quotient is a whole number, then 2 and 63,554,211.5 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:

1 127,108,423
-1 -127,108,423

Now, we try dividing 127,108,423 by 3:

127,108,423 ÷ 3 = 42,369,474.3333

If the quotient is a whole number, then 3 and 42,369,474.3333 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:

1 127,108,423
-1 -127,108,423

Let's try dividing by 4:

127,108,423 ÷ 4 = 31,777,105.75

If the quotient is a whole number, then 4 and 31,777,105.75 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:

1 127,108,423
-1 127,108,423
Keep dividing by the next highest number until you cannot divide anymore.

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

113192272472,2672,9514,31329,47143,07356,069514,609559,9496,689,9179,777,571127,108,423
-1-13-19-227-247-2,267-2,951-4,313-29,471-43,073-56,069-514,609-559,949-6,689,917-9,777,571-127,108,423

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