Q: What are the factor combinations of the number 20,137,427?

 A:
Positive:   1 x 20137427103 x 195509193 x 1043391013 x 19879
Negative: -1 x -20137427-103 x -195509-193 x -104339-1013 x -19879


How do I find the factor combinations of the number 20,137,427?

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 20,137,427, 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 20,137,427
-1 -20,137,427

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 20,137,427.

Example:
1 x 20,137,427 = 20,137,427
and
-1 x -20,137,427 = 20,137,427
Notice both answers equal 20,137,427

With that explanation out of the way, let's continue. Next, we take the number 20,137,427 and divide it by 2:

20,137,427 ÷ 2 = 10,068,713.5

If the quotient is a whole number, then 2 and 10,068,713.5 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 20,137,427
-1 -20,137,427

Now, we try dividing 20,137,427 by 3:

20,137,427 ÷ 3 = 6,712,475.6667

If the quotient is a whole number, then 3 and 6,712,475.6667 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 20,137,427
-1 -20,137,427

Let's try dividing by 4:

20,137,427 ÷ 4 = 5,034,356.75

If the quotient is a whole number, then 4 and 5,034,356.75 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 20,137,427
-1 20,137,427
Keep dividing by the next highest number until you cannot divide anymore.

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

11031931,01319,879104,339195,50920,137,427
-1-103-193-1,013-19,879-104,339-195,509-20,137,427

More Examples

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