Q: What are the factor combinations of the number 20,731,405?

 A:
Positive:   1 x 207314055 x 414628131 x 668755131 x 158255155 x 133751655 x 316511021 x 203054061 x 5105
Negative: -1 x -20731405-5 x -4146281-31 x -668755-131 x -158255-155 x -133751-655 x -31651-1021 x -20305-4061 x -5105


How do I find the factor combinations of the number 20,731,405?

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 20,731,405, 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 20,731,405
-1 -20,731,405

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 20,731,405.

Example:
1 x 20,731,405 = 20,731,405
and
-1 x -20,731,405 = 20,731,405
Notice both answers equal 20,731,405

With that explanation out of the way, let's continue. Next, we take the number 20,731,405 and divide it by 2:

20,731,405 ÷ 2 = 10,365,702.5

If the quotient is a whole number, then 2 and 10,365,702.5 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 20,731,405
-1 -20,731,405

Now, we try dividing 20,731,405 by 3:

20,731,405 ÷ 3 = 6,910,468.3333

If the quotient is a whole number, then 3 and 6,910,468.3333 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 20,731,405
-1 -20,731,405

Let's try dividing by 4:

20,731,405 ÷ 4 = 5,182,851.25

If the quotient is a whole number, then 4 and 5,182,851.25 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 20,731,405
-1 20,731,405
Keep dividing by the next highest number until you cannot divide anymore.

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

15311311556551,0214,0615,10520,30531,651133,751158,255668,7554,146,28120,731,405
-1-5-31-131-155-655-1,021-4,061-5,105-20,305-31,651-133,751-158,255-668,755-4,146,281-20,731,405

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