Q: What are the factor combinations of the number 20,371,445?

 A:
Positive:   1 x 203714455 x 407428923 x 88571547 x 433435115 x 177143235 x 866871081 x 188453769 x 5405
Negative: -1 x -20371445-5 x -4074289-23 x -885715-47 x -433435-115 x -177143-235 x -86687-1081 x -18845-3769 x -5405


How do I find the factor combinations of the number 20,371,445?

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 20,371,445, 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 20,371,445
-1 -20,371,445

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 20,371,445.

Example:
1 x 20,371,445 = 20,371,445
and
-1 x -20,371,445 = 20,371,445
Notice both answers equal 20,371,445

With that explanation out of the way, let's continue. Next, we take the number 20,371,445 and divide it by 2:

20,371,445 ÷ 2 = 10,185,722.5

If the quotient is a whole number, then 2 and 10,185,722.5 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 20,371,445
-1 -20,371,445

Now, we try dividing 20,371,445 by 3:

20,371,445 ÷ 3 = 6,790,481.6667

If the quotient is a whole number, then 3 and 6,790,481.6667 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 20,371,445
-1 -20,371,445

Let's try dividing by 4:

20,371,445 ÷ 4 = 5,092,861.25

If the quotient is a whole number, then 4 and 5,092,861.25 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 20,371,445
-1 20,371,445
Keep dividing by the next highest number until you cannot divide anymore.

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

1523471152351,0813,7695,40518,84586,687177,143433,435885,7154,074,28920,371,445
-1-5-23-47-115-235-1,081-3,769-5,405-18,845-86,687-177,143-433,435-885,715-4,074,289-20,371,445

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