Q: What are the factor combinations of the number 20,427,799?

 A:
Positive:   1 x 204277997 x 291825741 x 498239109 x 187411287 x 71177653 x 31283763 x 267734469 x 4571
Negative: -1 x -20427799-7 x -2918257-41 x -498239-109 x -187411-287 x -71177-653 x -31283-763 x -26773-4469 x -4571


How do I find the factor combinations of the number 20,427,799?

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 20,427,799, 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 20,427,799
-1 -20,427,799

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 20,427,799.

Example:
1 x 20,427,799 = 20,427,799
and
-1 x -20,427,799 = 20,427,799
Notice both answers equal 20,427,799

With that explanation out of the way, let's continue. Next, we take the number 20,427,799 and divide it by 2:

20,427,799 ÷ 2 = 10,213,899.5

If the quotient is a whole number, then 2 and 10,213,899.5 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 20,427,799
-1 -20,427,799

Now, we try dividing 20,427,799 by 3:

20,427,799 ÷ 3 = 6,809,266.3333

If the quotient is a whole number, then 3 and 6,809,266.3333 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 20,427,799
-1 -20,427,799

Let's try dividing by 4:

20,427,799 ÷ 4 = 5,106,949.75

If the quotient is a whole number, then 4 and 5,106,949.75 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 20,427,799
-1 20,427,799
Keep dividing by the next highest number until you cannot divide anymore.

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

17411092876537634,4694,57126,77331,28371,177187,411498,2392,918,25720,427,799
-1-7-41-109-287-653-763-4,469-4,571-26,773-31,283-71,177-187,411-498,239-2,918,257-20,427,799

More Examples

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