Q: What are the factor combinations of the number 20,131,405?

 A:
Positive:   1 x 201314055 x 40262817 x 287591535 x 57518349 x 410845127 x 158515245 x 82169635 x 31703647 x 31115889 x 226453235 x 62234445 x 4529
Negative: -1 x -20131405-5 x -4026281-7 x -2875915-35 x -575183-49 x -410845-127 x -158515-245 x -82169-635 x -31703-647 x -31115-889 x -22645-3235 x -6223-4445 x -4529


How do I find the factor combinations of the number 20,131,405?

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 20,131,405, 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 20,131,405
-1 -20,131,405

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 20,131,405.

Example:
1 x 20,131,405 = 20,131,405
and
-1 x -20,131,405 = 20,131,405
Notice both answers equal 20,131,405

With that explanation out of the way, let's continue. Next, we take the number 20,131,405 and divide it by 2:

20,131,405 ÷ 2 = 10,065,702.5

If the quotient is a whole number, then 2 and 10,065,702.5 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 20,131,405
-1 -20,131,405

Now, we try dividing 20,131,405 by 3:

20,131,405 ÷ 3 = 6,710,468.3333

If the quotient is a whole number, then 3 and 6,710,468.3333 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 20,131,405
-1 -20,131,405

Let's try dividing by 4:

20,131,405 ÷ 4 = 5,032,851.25

If the quotient is a whole number, then 4 and 5,032,851.25 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 20,131,405
-1 20,131,405
Keep dividing by the next highest number until you cannot divide anymore.

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

15735491272456356478893,2354,4454,5296,22322,64531,11531,70382,169158,515410,845575,1832,875,9154,026,28120,131,405
-1-5-7-35-49-127-245-635-647-889-3,235-4,445-4,529-6,223-22,645-31,115-31,703-82,169-158,515-410,845-575,183-2,875,915-4,026,281-20,131,405

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